Question

8. Find the LCM of 12, 15 and 40 by prime factorization method.


​

Answer 1

Answer:

Prime factors of 12 = 2 × 2 × 3

Prime factors of 15 = 3 × 5

Prime factors of 40 = 2 × 2 × 2 × 5

2×2×2×5×3=120

therefore, The least common multiple of 12, 15 and 40 is 120.

i hope it helps you

Answer 2

Given,

Find the L.C.M of $12,15$ and $40$ by using prime factorization method.

• Prime factorization method L.C.M: The smallest number that is a multiple of two numbers is called the least common multiple. prime factorization.
• The prime factorization of a number is the product of prime numbers that equals the number.

Here, we can written the prime factors of $12,15$ and $40$

$12=2\times2\times3$

$15=3\times5$

$40=5\times2\times2\times2$

L.C.M of $12,15$ and $40=2\times2\times2\times3\times5$

$=120$

Therefore, the L.C.M of $12,15$ and $40$ is $120$.