Least Common Multiple of 8932/256, 8532/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8932/256, 8532/118 quickly i.e. 9525978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8932/256, 8532/118 is 9525978.

LCM(8932/256, 8532/118) = 9525978

LCM of 8932/256, 8532/118

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 8932/256,8532/118

Given numbers are 8932/256,8532/118

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 8932,8532

Least Common Multiple of Numerators i.e. LCM of 8932,8532 is 19051956.

GCF of Denominators means GCF of 256,118 as per the given fractions.

GCF of 256,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8932,8532

LCM of Fractions 8932/256,8532/118 is 9525978

2 8932, 8532
2 4466, 4266
2233, 2133

∴ So the LCM of the given numbers is 2 x 2 x 2233 x 2133 = 19051956

Least Common Multiple of 8932,8532 with GCF Formula

Least Common Multiple of 8932,8532 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 8932,8532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8932,8532) = 4

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

GCF(8932,8532) x common factors =4 x 1 = 4

LCM(8932,8532) = ( 8932 × 8532 ) / 4

LCM(8932,8532) = 76207824 / 4

LCM(8932,8532) = 19051956


Lets's calculate GCF of 256,118

2 256, 118
128, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19051956/2

Therefore the LCM of Fractions 8932/256,8532/118 is 9525978

Greatest Common Factor of 256,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,118 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 256,118 . The biggest common factor number is the GCF number.
So the greatest common factor 256,118 is 2.


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 8932/256, 8532/118

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 8932/256, 8532/118?

Answer: LCM of Numerators as per given numbers 8932/256, 8532/118 is

LCM of Numerators i.e. for 8932,8532 is 19051956

GCF of denominators i.e. for 256,118 is 2.

Thus, LCM of Fractions is 9525978.Finally, LCM of Fractions for 8932/256, 8532/118 is 9525978.