Least Common Multiple of 76/747, 528/976, 472/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/747, 528/976, 472/868 quickly i.e. 591888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/747, 528/976, 472/868 is 591888.

LCM(76/747, 528/976, 472/868) = 591888

LCM of 76/747, 528/976, 472/868

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 76/747,528/976,472/868

Given numbers are 76/747,528/976,472/868

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 76,528,472

Least Common Multiple of Numerators i.e. LCM of 76,528,472 is 591888.

GCF of Denominators means GCF of 747,976,868 as per the given fractions.

GCF of 747,976,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,528,472

LCM of Fractions 76/747,528/976,472/868 is 591888

2 76, 528, 472
2 38, 264, 236
2 19, 132, 118
19, 66, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 66 x 59 = 591888

Least Common Multiple of 76,528,472 with GCF Formula

Least Common Multiple of 76,528,472 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 76,528,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,528,472) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(76,528,472) x common factors =4 x 8 = 32

LCM(76,528,472) = ( 76 × 528 × 472 ) / 32

LCM(76,528,472) = 18940416 / 32

LCM(76,528,472) = 591888


Lets's calculate GCF of 747,976,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 591888/1

Therefore the LCM of Fractions 76/747,528/976,472/868 is 591888

Greatest Common Factor of 747,976,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,976,868 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 747,976,868 . The biggest common factor number is the GCF number.
So the greatest common factor 747,976,868 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 76/747, 528/976, 472/868

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 76/747, 528/976, 472/868?

Answer: LCM of Numerators as per given numbers 76/747, 528/976, 472/868 is

LCM of Numerators i.e. for 76,528,472 is 591888

GCF of denominators i.e. for 747,976,868 is 1.

Thus, LCM of Fractions is 591888.Finally, LCM of Fractions for 76/747, 528/976, 472/868 is 591888.