Least Common Multiple of 500/31, 618/50, 921/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/31, 618/50, 921/364 quickly i.e. 47431500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/31, 618/50, 921/364 is 47431500.

LCM(500/31, 618/50, 921/364) = 47431500

LCM of 500/31, 618/50, 921/364

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 500/31,618/50,921/364

Given numbers are 500/31,618/50,921/364

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 500,618,921

Least Common Multiple of Numerators i.e. LCM of 500,618,921 is 47431500.

GCF of Denominators means GCF of 31,50,364 as per the given fractions.

GCF of 31,50,364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,618,921

LCM of Fractions 500/31,618/50,921/364 is 47431500

2 500, 618, 921
3 250, 309, 921
250, 103, 307

∴ So the LCM of the given numbers is 2 x 3 x 250 x 103 x 307 = 47431500

Least Common Multiple of 500,618,921 with GCF Formula

Least Common Multiple of 500,618,921 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 500,618,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,618,921) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(500,618,921) x common factors =1 x 6 = 6

LCM(500,618,921) = ( 500 × 618 × 921 ) / 6

LCM(500,618,921) = 284589000 / 6

LCM(500,618,921) = 47431500


Lets's calculate GCF of 31,50,364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47431500/1

Therefore the LCM of Fractions 500/31,618/50,921/364 is 47431500

Greatest Common Factor of 31,50,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,50,364 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 31,50,364 . The biggest common factor number is the GCF number.
So the greatest common factor 31,50,364 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 500/31, 618/50, 921/364

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 500/31, 618/50, 921/364?

Answer: LCM of Numerators as per given numbers 500/31, 618/50, 921/364 is

LCM of Numerators i.e. for 500,618,921 is 47431500

GCF of denominators i.e. for 31,50,364 is 1.

Thus, LCM of Fractions is 47431500.Finally, LCM of Fractions for 500/31, 618/50, 921/364 is 47431500.