Question

L. C. M of 72 and 14 with solution​

Answer 1

following are the steps for getting the correct answer:

Given:

the numbers 72 and 14

to find :

LCM of 72 and 14

Solution:

Greatest Common Divisor (GCD) Method Steps:

GCD(72, 16) = 8

LCM =   72 × 16 /8

        = 144

Prime Factorization Method Steps:

Prime factorization of the numbers:

72 = 2 × 2 × 2 × 3 × 3

16 = 2 × 2 × 2 × 2

LCM(72, 16)

= 2 × 2 × 2 × 2 × 3 × 3

= 144

Hence, the LCM of 72 and 16 is 144.

Answer 2

Given,

$72$ and $14$

We have to find LCM of $72$ and $14$

• LCM (Least common multiple): the smallest common multiple of two or more numbers.
• First we have to written prime factors of given numbers.
• After that we have to take common factors of both number
• Then we have to multiply the common factors of both numbers that is LCM.

Now,

Prime factors of $72= 3\times3\times2\times2\times2$

Prime factors of $14=2\times7$

LCM of $72$ and $14$ $= 3\times3\times2\times2\times2\times7$

$=504$

Therefore LCM of $72$ and $14$ is $504$.