Least Common Multiple of 753/500, 944/637, 957/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/500, 944/637, 957/564 quickly i.e. 226755408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/500, 944/637, 957/564 is 226755408.

LCM(753/500, 944/637, 957/564) = 226755408

LCM of 753/500, 944/637, 957/564

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 753/500,944/637,957/564

Given numbers are 753/500,944/637,957/564

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 753,944,957

Least Common Multiple of Numerators i.e. LCM of 753,944,957 is 226755408.

GCF of Denominators means GCF of 500,637,564 as per the given fractions.

GCF of 500,637,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,944,957

LCM of Fractions 753/500,944/637,957/564 is 226755408

3 753, 944, 957
251, 944, 319

∴ So the LCM of the given numbers is 3 x 251 x 944 x 319 = 226755408

Least Common Multiple of 753,944,957 with GCF Formula

Least Common Multiple of 753,944,957 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 753,944,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,944,957) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(753,944,957) x common factors =1 x 3 = 3

LCM(753,944,957) = ( 753 × 944 × 957 ) / 3

LCM(753,944,957) = 680266224 / 3

LCM(753,944,957) = 226755408


Lets's calculate GCF of 500,637,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226755408/1

Therefore the LCM of Fractions 753/500,944/637,957/564 is 226755408

Greatest Common Factor of 500,637,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,637,564 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 500,637,564 . The biggest common factor number is the GCF number.
So the greatest common factor 500,637,564 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 753/500, 944/637, 957/564

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 753/500, 944/637, 957/564?

Answer: LCM of Numerators as per given numbers 753/500, 944/637, 957/564 is

LCM of Numerators i.e. for 753,944,957 is 226755408

GCF of denominators i.e. for 500,637,564 is 1.

Thus, LCM of Fractions is 226755408.Finally, LCM of Fractions for 753/500, 944/637, 957/564 is 226755408.