Least Common Multiple of 971/291, 209/112, 502/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/291, 209/112, 502/371 quickly i.e. 101875378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/291, 209/112, 502/371 is 101875378.

LCM(971/291, 209/112, 502/371) = 101875378

LCM of 971/291, 209/112, 502/371

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 971/291,209/112,502/371

Given numbers are 971/291,209/112,502/371

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 971,209,502

Least Common Multiple of Numerators i.e. LCM of 971,209,502 is 101875378.

GCF of Denominators means GCF of 291,112,371 as per the given fractions.

GCF of 291,112,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,209,502

LCM of Fractions 971/291,209/112,502/371 is 101875378

Given numbers has no common factors except 1. So, there LCM is their product i.e 101875378

Least Common Multiple of 971,209,502 with GCF Formula

Least Common Multiple of 971,209,502 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 971,209,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,209,502) = 1

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

GCF(971,209,502) x common factors =1 x 1 = 1

LCM(971,209,502) = ( 971 × 209 × 502 ) / 1

LCM(971,209,502) = 101875378 / 1

LCM(971,209,502) = 101875378


Lets's calculate GCF of 291,112,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101875378/1

Therefore the LCM of Fractions 971/291,209/112,502/371 is 101875378

Greatest Common Factor of 291,112,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,112,371 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 291,112,371 . The biggest common factor number is the GCF number.
So the greatest common factor 291,112,371 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 971/291, 209/112, 502/371

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 971/291, 209/112, 502/371?

Answer: LCM of Numerators as per given numbers 971/291, 209/112, 502/371 is

LCM of Numerators i.e. for 971,209,502 is 101875378

GCF of denominators i.e. for 291,112,371 is 1.

Thus, LCM of Fractions is 101875378.Finally, LCM of Fractions for 971/291, 209/112, 502/371 is 101875378.