Question

If the hcf of two number is 12 and their product is 12096 find their lcm

Answer 1

Answer: 1008

Step-by-step explanation:

H.C.F= 12

Product of two number = 12096

We know that,

H.C.F × L.C.M = product of two numbers

Therefore,

12 × L.C.M = 12096

So,

L.C.M = 12096 ÷12

L.C.M = 1008.

Hope it helps u.

Answer 2

Concept-

H.C.F. defines the greatest factor present between given two or more numbers, whereas L.C.M. defines the least number that is exactly divisible by two or more numbers. H.C.F. is also called as the greatest common factor and L.C.M. is also called as the least common divisor.

Given-

It is provided that H.C.F. of two numbers is 12 and the product of two numbers is 12096.

Find-

We have to find out the L.C.M.

Solution-

Let us assume that L.C.M. as (x)

We know that,

HCF × LCM = Product of two numbers

12 × x = 12096

x = 12096 / 12

x = 1008

So, the value of x is 1008.

We got the value of x as 1008,

∴ L.C.M. = 1008

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