Question

The product of two 2- digit number is 1280 and GCD = 4. What is their LCM​

Answer 1

Answer:

Let the two numbers be A and B.

So, HCF * LCM = A * B

4 * LCM = 1280

LCM = 320

Answer 2

Given,

Product of the two numbers = 1280

GCD of the two numbers = 4

To find,

The LCM of the two numbers.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

There is a, mathematical relationship between the GCD, LCM and product of two numbers. Which is,

Product = GCD × LCM

So,

1280 = 4 × LCM (Putting the given values.)

4×LCM = 1280

LCM = 1280/4

LCM = 320

(This will be considered as the final result.)

Hence, the LCM of two numbers will be 320