Least Common Multiple of 932/572, 384/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 932/572, 384/956 quickly i.e. 22368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 932/572, 384/956 is 22368.

LCM(932/572, 384/956) = 22368

LCM of 932/572, 384/956

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 932/572,384/956

Given numbers are 932/572,384/956

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 932,384

Least Common Multiple of Numerators i.e. LCM of 932,384 is 89472.

GCF of Denominators means GCF of 572,956 as per the given fractions.

GCF of 572,956 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 932,384

LCM of Fractions 932/572,384/956 is 22368

2 932, 384
2 466, 192
233, 96

∴ So the LCM of the given numbers is 2 x 2 x 233 x 96 = 89472

Least Common Multiple of 932,384 with GCF Formula

Least Common Multiple of 932,384 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 932,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,384) = 4

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

GCF(932,384) x common factors =4 x 1 = 4

LCM(932,384) = ( 932 × 384 ) / 4

LCM(932,384) = 357888 / 4

LCM(932,384) = 89472


Lets's calculate GCF of 572,956

2 572, 956
2 286, 478
143, 239

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89472/4

Therefore the LCM of Fractions 932/572,384/956 is 22368

Greatest Common Factor of 572,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,956 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 572,956 . The biggest common factor number is the GCF number.
So the greatest common factor 572,956 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 932/572, 384/956

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 932/572, 384/956?

Answer: LCM of Numerators as per given numbers 932/572, 384/956 is

LCM of Numerators i.e. for 932,384 is 89472

GCF of denominators i.e. for 572,956 is 4.

Thus, LCM of Fractions is 22368.Finally, LCM of Fractions for 932/572, 384/956 is 22368.