Question

If HCF (a, b) = 15 and a xb = 1200 then find LCM (a, b)​

Answer 1

Answer:

Explanation:

Hcf = 15

a×b = 1200

Lcm = ?

axb = Hcf x Lcm

1200 = 15 x Lcm

Lcm = 80

Answer 2

Answer:

We know that there is a relation between HCF and LCM and product of two numbers which is given by ,

HCF × LCM = Product of the numbers _ _ _ _ (i)

So,

In given question

HCF(a,b) = 15

and

a × b = 1200 .

so we can find value of LCM very easily by putting given two in (i)

Now,

using relationship given in (i)

$LCM(a,b) = \frac{a \times b}{HCF(a,b) } \\ \\ LCM(a,b)= \frac{1200}{15}$

$LCM(a,b) = 80$

LCM of a,b will be 80.