Least Common Multiple of 8971/351, 8542/6133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8971/351, 8542/6133 quickly i.e. 76630282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8971/351, 8542/6133 is 76630282.

LCM(8971/351, 8542/6133) = 76630282

LCM of 8971/351, 8542/6133

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 8971/351,8542/6133

Given numbers are 8971/351,8542/6133

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 8971,8542

Least Common Multiple of Numerators i.e. LCM of 8971,8542 is 76630282.

GCF of Denominators means GCF of 351,6133 as per the given fractions.

GCF of 351,6133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8971,8542

LCM of Fractions 8971/351,8542/6133 is 76630282

Given numbers has no common factors except 1. So, there LCM is their product i.e 76630282

Least Common Multiple of 8971,8542 with GCF Formula

Least Common Multiple of 8971,8542 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 8971,8542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8971,8542) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(8971,8542) x common factors =1 x 1 = 1

LCM(8971,8542) = ( 8971 × 8542 ) / 1

LCM(8971,8542) = 76630282 / 1

LCM(8971,8542) = 76630282


Lets's calculate GCF of 351,6133

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76630282/1

Therefore the LCM of Fractions 8971/351,8542/6133 is 76630282

Greatest Common Factor of 351,6133 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,6133 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 6133

List of positive integer factors of 6133 that divides 6133 without a remainder.

1,6133

Greatest Common Factor

We found the factors 351,6133 . The biggest common factor number is the GCF number.
So the greatest common factor 351,6133 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 8971/351, 8542/6133

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 8971/351, 8542/6133?

Answer: LCM of Numerators as per given numbers 8971/351, 8542/6133 is

LCM of Numerators i.e. for 8971,8542 is 76630282

GCF of denominators i.e. for 351,6133 is 1.

Thus, LCM of Fractions is 76630282.Finally, LCM of Fractions for 8971/351, 8542/6133 is 76630282.