Question

1. If product of two coprime numbers is 217, then find their LCM.
answer​

Answer 1

Answer:

Product of two numbers = HCF × LCM.

217. = 1 × LCM.

LCM. = 217

I hope this may help u out

Answer 2

LCM of the two coprime numbers is 217

Given :

The product of two coprime numbers is 217

To find :

Their LCM

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

Solution :

Step 1 of 2 :

Write product of the numbers and HCF

Here it is given that product of two coprime numbers is 217

∴ Product of the numbers = 217

We know that Coprime numbers are pairs of numbers that do not have any common factor other than 1

∴ HCF = 1

Step 2 of 2 :

Calculate their LCM

HCF × LCM = Product of the numbers

⇒ 1 × LCM = 217

⇒ LCM = 217

Hence LCM of the two coprime numbers is 217

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