Least Common Multiple of 539/56, 357/25, 868/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 539/56, 357/25, 868/123 quickly i.e. 3408636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 539/56, 357/25, 868/123 is 3408636.

LCM(539/56, 357/25, 868/123) = 3408636

LCM of 539/56, 357/25, 868/123

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 539/56,357/25,868/123

Given numbers are 539/56,357/25,868/123

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 539,357,868

Least Common Multiple of Numerators i.e. LCM of 539,357,868 is 3408636.

GCF of Denominators means GCF of 56,25,123 as per the given fractions.

GCF of 56,25,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 539,357,868

LCM of Fractions 539/56,357/25,868/123 is 3408636

7 539, 357, 868
77, 51, 124

∴ So the LCM of the given numbers is 7 x 77 x 51 x 124 = 3408636

Least Common Multiple of 539,357,868 with GCF Formula

Least Common Multiple of 539,357,868 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 539,357,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,357,868) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(539,357,868) x common factors =7 x 7 = 49

LCM(539,357,868) = ( 539 × 357 × 868 ) / 49

LCM(539,357,868) = 167023164 / 49

LCM(539,357,868) = 3408636


Lets's calculate GCF of 56,25,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3408636/1

Therefore the LCM of Fractions 539/56,357/25,868/123 is 3408636

Greatest Common Factor of 56,25,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,25,123 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 56,25,123 . The biggest common factor number is the GCF number.
So the greatest common factor 56,25,123 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 539/56, 357/25, 868/123

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 539/56, 357/25, 868/123?

Answer: LCM of Numerators as per given numbers 539/56, 357/25, 868/123 is

LCM of Numerators i.e. for 539,357,868 is 3408636

GCF of denominators i.e. for 56,25,123 is 1.

Thus, LCM of Fractions is 3408636.Finally, LCM of Fractions for 539/56, 357/25, 868/123 is 3408636.