Question

the LCM of 12 15 and 16​

Answer 1

240 is the lcm of 12 15 16

Answer 2

ANSWER

Given=>

Numbers are 12,15 and 16.

To find LCM(lowest Common multiple ) or HCF(Highest common factor) we need to do prime factorisation of the numbers to find their factors.

Now, prime factorisation of 12,15 and 16 gives =>

12 = 2×3×2 =$2^2$ ×3

15= 3×5

16 = 2×2×2×2 =$2^4$

Since we need to find LCM of the numbers we will chose the higest power of each factor.

So, LCM (12,15,16) = $2^4$×3×5

=>LCM (12,15,16) =240

Hence the LCM of the numbers are 240.