Least Common Multiple of 79/684, 83/540, 686/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/684, 83/540, 686/629 quickly i.e. 4498102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/684, 83/540, 686/629 is 4498102.

LCM(79/684, 83/540, 686/629) = 4498102

LCM of 79/684, 83/540, 686/629

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 79/684,83/540,686/629

Given numbers are 79/684,83/540,686/629

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 79,83,686

Least Common Multiple of Numerators i.e. LCM of 79,83,686 is 4498102.

GCF of Denominators means GCF of 684,540,629 as per the given fractions.

GCF of 684,540,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,83,686

LCM of Fractions 79/684,83/540,686/629 is 4498102

Given numbers has no common factors except 1. So, there LCM is their product i.e 4498102

Least Common Multiple of 79,83,686 with GCF Formula

Least Common Multiple of 79,83,686 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 79,83,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,83,686) = 1

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

GCF(79,83,686) x common factors =1 x 1 = 1

LCM(79,83,686) = ( 79 × 83 × 686 ) / 1

LCM(79,83,686) = 4498102 / 1

LCM(79,83,686) = 4498102


Lets's calculate GCF of 684,540,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4498102/1

Therefore the LCM of Fractions 79/684,83/540,686/629 is 4498102

Greatest Common Factor of 684,540,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,540,629 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 684,540,629 . The biggest common factor number is the GCF number.
So the greatest common factor 684,540,629 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 79/684, 83/540, 686/629

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 79/684, 83/540, 686/629?

Answer: LCM of Numerators as per given numbers 79/684, 83/540, 686/629 is

LCM of Numerators i.e. for 79,83,686 is 4498102

GCF of denominators i.e. for 684,540,629 is 1.

Thus, LCM of Fractions is 4498102.Finally, LCM of Fractions for 79/684, 83/540, 686/629 is 4498102.