Amber S.

asked • 08/26/12

what are all the common multiples of 12 and 15

well i am doing a project and need the common multiples of 15 and 12 within the next 10 min. thank you

Exquisite W.

Answer: LCM is the method to find the smallest possible multiple of two or more numbers. LCM stands for Least common multiple. LCM of two numbers is divisible by both the numbers. Method to find least common multiple (LCM) We can find the LCM by two ways By listing the multiples By prime factorisation LCM of 12 and 15 We can find the LCM of 12 and 15 by both the above-mentioned methods. First Method: Listing the multiples First write the common multiples of all the three numbers. Common Multiples of 12: 12,24,36,48,60,72,…. Common Multiples of 15: 15, 30, 45, 60, 75,… Hence, the Least common multiple of 12 and 15 is 60. Second method: By Prime factorisation Let us write the prime factors of the two numbers individually. 12 = 2 x 2 x 3 15 = 3 x 5 Multiply each factor the maximum number of times it occurs in either number = 2 X 2 X 3 X 5 LCM (12 and 15) = 60 Answer
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04/14/21

Exquisite W.

LCM of 12 and 15= 60
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04/14/21

Bley B.

STEP 1: determine the lowest common multiple of 12 and 15. 12 15 1 12 15 2 24 30 3 36 45 4 48 60 5 60 It turns out, the lowest common multiple of 12 and 15 is 60. My observation is it took five multiples of 12 and four multiples of 15 to reach the common multiple of 60 for both 12 and 15. STEP 2: find the next common multiple With this in mind, we can jump to the next common multiple of 12 and 15 60 + 12(5) = 120 & 60 + 15(4) = 120 STEP 3: visualize it with a table to prove that no common multiple exists between 60 and 120 12 15 1 12 15 2 24 30 3 36 45 4 48 60 5 60 75 6 72 90 7 84 105 8 96 120 9 108 10 120
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05/19/22

7 Answers By Expert Tutors

By:

Barry D.

tutor
An easy method for a teacher/tutor/expert might not be easy for the learner. We should be careful to avoid using easy, easier, and easiest. If this student is currently in a unit emphasizing factoring or just competent in factoring then finding GCF could be the appropriate route ...
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04/24/22

Raymond B. answered • 04/23/21

Tutor
5 (2)

Math, microeconomics or criminal justice

Lauren B. answered • 09/04/12

Tutor
5.0 (311)

Improving Dubuque's Math Skills One Student at a Time

Barry D.

tutor
We should be careful when using easy, easier, or easiest. A preferred or faster method for me might not be easiest for a student to process or perform.
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04/24/22

Kelly M. answered • 08/27/12

Tutor
4.9 (82)

Math, Test Preparation, and More

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