Question

Given that HCF (306 and 657) =9, find LCM of (306 and 657).

Answer 1

Hint: Here we need to find the Least Common Multiple (LCM) of 306 and 657 by using the relation between HCF and LCM.

Complete step-by-step answer:

The factors of 306 is
$ \Rightarrow 306 = 2 \times 3 \times 3 \times 17 = 9 \times 2 \times 17$
The factors of 657 is
$ \Rightarrow 657 = 3 \times 3 \times 73 = 9 \times 73$
Given H.C.F of (306 and 657) =9
$
   \Rightarrow L.C.M = H.C.F \times {\text{(remaining factors)}} \\
   \Rightarrow L.C.M = 9 \times (2 \times 17 \times 73) = 22338 \\
$
So this is the required L.C.M.

Note: In this type of questions first find all the factors of given number, in these factors common
Factors is the H.C.F and multiplication of remaining factors with H.C.F is your desired L.C.M.