Question

HCF of two numbers is 16. which of the number wouldn't be the LCM 64,78,112,128

Answer 1

Answer:

therefore lcm of any two numbers is divisible by hcf

so,

64 / 16 = 6 ( it can be )

78 / 16 = ( it can't be )

so, 78 can't be lcm of two nos.

Answer 2

Answer:

78 will not be the LCM

Step-by-step explanation:

Given:

The HCF is 16

We know that HCF is the highest number that completely divides the numbers.

and LCM is the smallest common multiple of the numbers.

Therefore, from the definitions , it is clear that the LCM will be a multiple of HCF.

Therefore, here,

Option 1. 64

64 = 16 * 4

As 4 is a whole number, 64 is the LCM

Option 2. 78

78 = 16 * 4.875

As we do not get a whole number, 78 is not the LCM

Therefore,  78 will not be the LCM