Least Common Multiple of 52/641, 75/339, 772/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/641, 75/339, 772/877 quickly i.e. 752700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/641, 75/339, 772/877 is 752700.

LCM(52/641, 75/339, 772/877) = 752700

LCM of 52/641, 75/339, 772/877

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 52/641,75/339,772/877

Given numbers are 52/641,75/339,772/877

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 52,75,772

Least Common Multiple of Numerators i.e. LCM of 52,75,772 is 752700.

GCF of Denominators means GCF of 641,339,877 as per the given fractions.

GCF of 641,339,877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,75,772

LCM of Fractions 52/641,75/339,772/877 is 752700

2 52, 75, 772
2 26, 75, 386
13, 75, 193

∴ So the LCM of the given numbers is 2 x 2 x 13 x 75 x 193 = 752700

Least Common Multiple of 52,75,772 with GCF Formula

Least Common Multiple of 52,75,772 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 52,75,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,75,772) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,75,772) x common factors =1 x 4 = 4

LCM(52,75,772) = ( 52 × 75 × 772 ) / 4

LCM(52,75,772) = 3010800 / 4

LCM(52,75,772) = 752700


Lets's calculate GCF of 641,339,877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 752700/1

Therefore the LCM of Fractions 52/641,75/339,772/877 is 752700

Greatest Common Factor of 641,339,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,339,877 By Matching Biggest Common Factor Method

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 641,339,877 . The biggest common factor number is the GCF number.
So the greatest common factor 641,339,877 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/641, 75/339, 772/877

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 52/641, 75/339, 772/877?

Answer: LCM of Numerators as per given numbers 52/641, 75/339, 772/877 is

LCM of Numerators i.e. for 52,75,772 is 752700

GCF of denominators i.e. for 641,339,877 is 1.

Thus, LCM of Fractions is 752700.Finally, LCM of Fractions for 52/641, 75/339, 772/877 is 752700.