Least Common Multiple of 512/680, 936/547, 876/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/680, 936/547, 876/697 quickly i.e. 4372992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/680, 936/547, 876/697 is 4372992.

LCM(512/680, 936/547, 876/697) = 4372992

LCM of 512/680, 936/547, 876/697

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 512/680,936/547,876/697

Given numbers are 512/680,936/547,876/697

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 512,936,876

Least Common Multiple of Numerators i.e. LCM of 512,936,876 is 4372992.

GCF of Denominators means GCF of 680,547,697 as per the given fractions.

GCF of 680,547,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,936,876

LCM of Fractions 512/680,936/547,876/697 is 4372992

2 512, 936, 876
2 256, 468, 438
2 128, 234, 219
3 64, 117, 219
64, 39, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 64 x 39 x 73 = 4372992

Least Common Multiple of 512,936,876 with GCF Formula

Least Common Multiple of 512,936,876 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 512,936,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,936,876) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(512,936,876) x common factors =4 x 24 = 96

LCM(512,936,876) = ( 512 × 936 × 876 ) / 96

LCM(512,936,876) = 419807232 / 96

LCM(512,936,876) = 4372992


Lets's calculate GCF of 680,547,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4372992/1

Therefore the LCM of Fractions 512/680,936/547,876/697 is 4372992

Greatest Common Factor of 680,547,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,547,697 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 680,547,697 . The biggest common factor number is the GCF number.
So the greatest common factor 680,547,697 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 512/680, 936/547, 876/697

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 512/680, 936/547, 876/697?

Answer: LCM of Numerators as per given numbers 512/680, 936/547, 876/697 is

LCM of Numerators i.e. for 512,936,876 is 4372992

GCF of denominators i.e. for 680,547,697 is 1.

Thus, LCM of Fractions is 4372992.Finally, LCM of Fractions for 512/680, 936/547, 876/697 is 4372992.