Question

If the HCF of two numbers is 32 and their product is 10240, then their LCM is equal to________.

Answer Fast and i will mark u as the brainliest.

Answer 1

Step-by-step explanation:

LCM = product of two numbers divided by HCF.

then the answer is 10240/32= 320

Answer 2

The LCM is 320.

Explanation:

Let a and b be two numbers, then

What is LCM (a,b):

It is the smallest positive integer that should be divisible by both a and b

What is HCF (a,b):

It is the largest positive integer that divides them without leaving a remainder.

Relation between HCF AND LCM:

By definition, we can conclude that the product of two numbers; a and b, is equal to the product of LCM (a,b) and HCF (a,b).

∴ a × b = LCM × HCF

⇒ LCM = (a × b) ÷ HCF

           = 10240 ÷ 32

           = 320