Question

the HCF of two numbers is 6 if the numbers are 24 and 42 find their LCM​

Answer 1

Step-by-step explanation:

1. hcf×lcm=1st term×second term 6×lcm=24×42 =24×42÷6=168. so the answer is 168

Answer 2

Answer:-

LCM = 168

Given:-

H. C. F = 6

1 st number = 24

2 nd number = 42

To find :-

Their L. C. M

Solution :-

As we know, the product of two numbers is equal to the product of their L. C. M and H. C. F.

$\boxed{\sf{LCM \times HCF = a \times b}}$

Now,

$6 \times LCM = 24 \times 42$

$LCM = \dfrac {24\times42}{6}$

$LCM = \dfrac{\cancel{24}\times42}{\cancel{6}}$

$LCM = 4 \times 42$

$LCM = 168$

hence, required LCM will be 168 .