Least Common Multiple of 52/757, 96/442, 364/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/757, 96/442, 364/944 quickly i.e. 8736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/757, 96/442, 364/944 is 8736.

LCM(52/757, 96/442, 364/944) = 8736

LCM of 52/757, 96/442, 364/944

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 52/757,96/442,364/944

Given numbers are 52/757,96/442,364/944

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 52,96,364

Least Common Multiple of Numerators i.e. LCM of 52,96,364 is 8736.

GCF of Denominators means GCF of 757,442,944 as per the given fractions.

GCF of 757,442,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,96,364

LCM of Fractions 52/757,96/442,364/944 is 8736

2 52, 96, 364
2 26, 48, 182
13 13, 24, 91
1, 24, 7

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 24 x 7 = 8736

Least Common Multiple of 52,96,364 with GCF Formula

Least Common Multiple of 52,96,364 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 52,96,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,96,364) = 4

common factors(in case of two or more numbers have common factors) = 52

GCF(52,96,364) x common factors =4 x 52 = 208

LCM(52,96,364) = ( 52 × 96 × 364 ) / 208

LCM(52,96,364) = 1817088 / 208

LCM(52,96,364) = 8736


Lets's calculate GCF of 757,442,944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8736/1

Therefore the LCM of Fractions 52/757,96/442,364/944 is 8736

Greatest Common Factor of 757,442,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,442,944 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 757,442,944 . The biggest common factor number is the GCF number.
So the greatest common factor 757,442,944 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 52/757, 96/442, 364/944

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 52/757, 96/442, 364/944?

Answer: LCM of Numerators as per given numbers 52/757, 96/442, 364/944 is

LCM of Numerators i.e. for 52,96,364 is 8736

GCF of denominators i.e. for 757,442,944 is 1.

Thus, LCM of Fractions is 8736.Finally, LCM of Fractions for 52/757, 96/442, 364/944 is 8736.