Question

Can Two numbers have 14 as their H.C.F and 204 as their L.C.M ? give reason to justify your answer.

Answer 1

Step-by-step explanation:

Given that: Can Two numbers have 14 as their H.C.F and 204 as their L.C.M ? give reason to justify your answer.

To find: Given statement is true or not

Solution: First of all one should know that LCM and HCF of two given numbers are like that HCF is a factor of LCM

or in other words LCM is a multiple of HCF.

on conclusion one can say that HCF divides LCM completely.

Here

HCF= 14

LCM= 204

HCF is not a factor of LCM

So, the statement is false.

Two numbers does not have 14 as their H.C.F and 204 as their L.C.M.

Justification:

let us take another example

Numbers: 15,105

HCF(15,70)=5

LCM(15,70)=210

Here we can see that 5 completely divided 210.

Thus,

HCF of two numbers is a factor of LCM of the same number.

Hope it helps you.