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My Math 5 Volume 2 Common Core, Grade: 5 Publisher: McGraw-Hill

My math 5 volume 2 common core, title : my math 5 volume 2 common core, publisher : mcgraw-hill, isbn : 21161968, isbn-13 : 9780021161966, use the table below to find videos, mobile apps, worksheets and lessons that supplement my math 5 volume 2 common core., textbook resources.

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McGraw Hill My Math Grade 5 Chapter 8 Lesson 5 Answer Key Least Common Multiple

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 8 Lesson 5 Least Common Multiple  will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 8 Lesson 5 Least Common Multiple

Math in My World

Example 1 Tom hits golf balls at the driving range every 3 days, practices putting every 4 days, and goes golfing every 6 days. If he did all three activities today, in how many days will he do all three activities again? Find and circle the LCM of 3, 4 and 6 by listing nonzero multiples of each number. 3: 3, 6, 9, 12, 15, 18, 21, 24, 27 and 30. 4: 4, 8, 12, 26, 20, 24, 28, 32, 36 and 40. 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60. So, Tom will complete all three activities again in 12 days.

Example 2 Find the LCM of 15 and 40.

Guided Practice

Find the LCM of each set of numbers.

Question 1. 6, 10 6: ________ 10: _______ So, the LCM of 6 and 10 is _____ Answer: 30 Explanation: 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 10 : 10, 20, 30, 40, 50, 60, 70, 80, 90 So, the LCM of 6 and 10 is 30

Question 2. 3, 4 3: ______ 4: _____ So, the LCM of 3 and 4 is ____ Answer: 12 Explanation: 3: 3, 6, 9, 12, 15, 18, 21, 24, 27 and 30. 4: 4, 8, 12, 26, 20, 24, 28, 32, 36 and 40. So, the LCM of 3 and 4 is 12

Independent Practice

Question 3. 2, 13 ____ Answer: 26 Explanation: 2 : 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26 13 : 13, 26, 39, 52, 65, 78, 91, 104, 117 So, the LCM of 2 and 13 is 26

Question 4. 7, 9 ____ Answer: 63 Explanation: 7 : 7 ,14 ,21 ,28 ,35 ,42 ,49 ,56 ,63 ,70 9 : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90. So, the LCM of 7 and 9 is 63

Question 5. 2, 10 ____ Answer: 10 Explanation: 2 : 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 10 : 10, 20, 30, 40, 50, 60, 70, 80, 90 So, the LCM of 2 and 10 is 10

Question 6. 12, 15 ____ Answer: 60 Explanation: 12 : 12, 24, 36, 48, 60, 72, 84, 96 15 : 15, 30, 45, 60, 75, 90, 105, 120, 135 So, the LCM of 12 and 15 is 60

Question 7. 16, 20 ____ Answer: 80 Explanation: 16 : 16, 32, 48, 64, 80, 96, 112, 128 20 : 20, 40, 60, 80, 100, 120, 140, 160, 180 So, the LCM of 16 and 20 is 80

Question 8. 3, 8 ____ Answer: 24 Explanation: 3: 3, 6, 9, 12, 15, 18, 21, 24, 27 8 : 8, 16, 24, 32, 40, 48, 56, 64 So, the LCM of 3 and 8 is 24

Question 9. 4, 8, 10 ____ Answer: 40 Explanation: 4 : 4, 8, 12, 26, 20, 24, 28, 32, 36 and 40 8 : 8, 16, 24, 32, 40, 48, 56, 64 10 : 10, 20, 30, 40, 50, 60, 70, 80, 90 So, the LCM of 4 , 8 and 10 is 40

Question 10. 3, 9, 18 ____ Answer: 18 Explanation: 3: 3, 6, 9, 12, 15, 18, 21, 24, 27 9 : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 18 : 18, 36, 54, 72, 90, 108, 126 So, the LCM of 3 , 9 and 18 is 18

Question 11. 15, 25, 75 ____ Answer: 75 Explanation: 15 : 15, 30, 45, 60, 75, 90, 105, 120 25 : 25, 50, 75, 100, 125, 150 75: 75, 150, 225, 300 So, the LCM of 15 , 25  and 75 is 75

Question 12. 9, 12, 15 ___ Answer: 180 Explanation: 9 : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180 12 :12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180 15 :15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180 So, the LCM of 9 , 12 and 15 is 180

Question 13. 4, 7, 10 ____ Answer: 140 Explanation: 4: 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96,100,104,108,112,116,120,124,128,132,136,140 7: 7,14,21,28,35,42,49,56 ,63,70,77, 84, 91, 98,105,112,119,126,133,140 10 : 10,20,30,40,50,60,70,80,90,100,110,120,130,140,150 So, the LCM of 4, 7and 10 is 140

Question 14. 6, 7, 9 ____ Answer: 126 Explanation: 6 : 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96,102, 108, 114, 120,126 7: 7,14,21,28,35,42,49,56 ,63,70,77, 84, 91, 98,105,112,119,126 9 : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126 So, the LCM of 6, 7and 9 is 126

Problem Solving

Question 15. Juan goes to the bowling alley every 3 weeks. Percy goes to the bowling alley every 5 weeks. If Juan and Percy meet the first time they go bowling, how many weeks will it be before they see each other at the bowling alley again? Answer: The first time Percy and Juan meet will be 15 weeks because it is the common multiple of both 5 and 3. Explanation: 3: 3, 6, 9, 12, 15, 18, 21, 24, 27 5 : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 So, the LCM of 3 and 5 is 15

Question 16. A full moon occurs about every 30 days. If the last full moon occurred on a Friday, how many days will pass before a full moon occurs again on a Friday? Answer: 210 Explanation: A full moon occurs every 30 days A Friday occurs every 7 days You must find out when those days will occur at the same time. Simplest answer is 7 x 30 = 210 days 7 : 7,14,21,28,35,42,49,56 ,63,70,77, 84, 91, 98,105,112,119,126,133,140,147,154,161,168,175,182,189,196,203,210 30 : 30, 60,90,120,150,180,210 So, the LCM of 7 and 30 is 210

HOT Problems

Question 18. Mathematical PRACTICE 4 Model Math Write a real-world problem in which it would be helpful to find the least common multiple. Answer: An example would be a scenario where you and your friend are going to a a restaurant. You have lunch there every fourth day, and he has his lunch there every sixth day. How many days before you meet again for lunch at the same restaurant? The answer again is lcm(4, 6) = 12.

Question 19. ? Building on the Essential Question How can I find the least common multiple of two or more numbers? Answer: The formula to find LCM of two numbers is, LCM of two numbers = product of two numbers ÷ HCF of two numbers or find all the prime factors of each given number. List all the prime numbers found, as many times as they occur most often for any one given number. Multiply the list of prime factors together to find the LCM.

McGraw Hill My Math Grade 5 Chapter 4 Lesson 5 My Homework Answer Key

Question 1. 7, 14 _____ Answer: 14 Explanation: 7 : 7 ,14 ,21 ,28 ,35 ,42 ,49 ,56 ,63 ,70 14 : 14, 28, 42, 56, 70, 84, 98 So, the LCM of 7 and 14 is 14

Question 2. 6, 15 ____ Answer: 30 Explanation: 6 : 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 15 : 15, 30, 45, 60, 75, 90, 105, 120 So, the LCM of 6  and 15 is 30

Question 3. 5, 9, 15 ____ Answer: 45 Explanation: 5 : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 9 : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 15 : 15, 30, 45, 60, 75, 90, 105, 120 So, the LCM of 5 , 9  and 15 is 45

Question 5. Mathematical Practice 3 Draw a Conclusion Is the statement below always, sometimes, or never true? Give at least two examples to support your reasoning. The LCM of two numbers is the product of the two numbers. Answer: Sometimes true Explanation: The Least Common Multiple of two numbers is the product of the two numbers only when they are relatively prime. 5, 21 LCM = 105 91, 11 LCM = 1001 If two numbers share a common factor, 8 and 10 share 2 as a common factor, the least common multiplier of 8 and 10 is 40.

Vocabulary Check

Fill in each blank with the correct word(s) to complete each sentence.

Question 6. Multiples that are shared by two or more numbers are _____ Answer: Common multiples Explanation: Multiples that are shared by two or more numbers are Common multiples

Question 7. The least common multiple (LCM) is the ____ multiple, other than 0, common to sets of multiples. Answer: Least Explanation: The least common multiple (LCM) is the least multiple, other than 0, common to sets of multiples.

Test Practice

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Home > CCA > Chapter 5 > Lesson 5.2.1

Lesson 5.1.1, lesson 5.1.2, lesson 5.1.3, lesson 5.2.1, lesson 5.2.2, lesson 5.2.3, lesson 5.3.1, lesson 5.3.2, lesson 5.3.3.

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Chapter 5: Ratios and Proportions

Chapter 5 homework solutions.

5.1-5.3 Extra Practice Worksheet

5.1 Ratios and Rates

5.1 Lesson Preso

5.1 Textbook Exercises: page 167

Ba: 1-6, 11-27 odd;

Avg: 1-6, 11-21 odd, 24-28 even, 29, 31;

Adv: 1-6, 18-38 even

5.2 Proportions

5.2 Textbook Exercises page 174

Ba: 1-4, 5-13 odd, 21-27 odd;

Avg 1-4, 5-13 odd, 22-30 even;

Adv: 1-4, 6-14 even, 22-32 even

5.3 Writing Proportions

5.3 Lesson Preso

5.3 Textbook Exercises page 182

Ba: 1-3, 9, 11, 12, 13-23 odd

Avg: 1-3, 8-14 even, 19-23

Adv: 1-3, 8-24 even, 25

5.4 Solving Proportions

5.4 Lesson Preso

5.4 Textbook Exercises page 190

Ba: 1-3, 5-9 odd, 15-21 odd, 22, 23-27 odd

Avg: 1-3, 5-9 odd, 15-21 odd, 22, 29, 30, 32-35

Adv: 1-3, 4-8 even, 14-38 even

5.5 Lesson Preso

5.5 Textbook Exercises page 196

Ba: 1-3, 5-11 odd, 12, 13-17 odd

Avg: 1-3, 5-11 odd, 12, 14-17

Adv: 1-3, 4-18 even

5.6 Direct Variation

5.6 Lesson Preso

5.6 Textbook Exercises page 202

Ba: 1-3, 7-17 odd, 18, 19-25 odd

Avg: 1-3, 7-17 odd, 18-28 even

Adv: 1-3, 8-28 even

Chapter 5 Review

5.1-5.3 Review Quizizz:

5.4-5.6 Review Quizizz:

Chapter 5 Review Quizizz: