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What is the lowest common multiple of 12 and 15?

2 Answers

11 votes

Answer:

60

Explanation:

we have to use prime factorisation method to obtain the answer.

12 and 15 have LCM 60.

User Axil
by
3.4k points
2 votes

Answer:

60

Explanation:

LCM of 12 and 15

First Method: Listing the multiples

First, write the common multiples of all 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

= 60

LCM of 12 and 15= 60

Answer

LCM of 12 and 15= 60

Hope this helps :)

User Hannu
by
3.4k points