Question

Find the LCM and HCF of 161 and 207 and find out if the LCM is divisible by the HCF or not

Answer 1

LCM = 1449

HCF=23

LCM is divisible by HCF

Prime Factorisation of the numbers:

207= 23 x 3x3

161 = 23 x 7

HCF = 23 //from above steps 23 is

the greatest factor

LCM= 23 x 7x3x3

=1449

/23 is taken only once

because it is a common factor

34

LCM of any group of numbers is always divisible by their HCF

1449/23-69