Least Common Multiple of 906/20, 508/9328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 906/20, 508/9328 quickly i.e. 57531 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/20, 508/9328 is 57531.

LCM(906/20, 508/9328) = 57531

LCM of 906/20, 508/9328

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 906/20,508/9328

Given numbers are 906/20,508/9328

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 906,508

Least Common Multiple of Numerators i.e. LCM of 906,508 is 230124.

GCF of Denominators means GCF of 20,9328 as per the given fractions.

GCF of 20,9328 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,508

LCM of Fractions 906/20,508/9328 is 57531

2 906, 508
453, 254

∴ So the LCM of the given numbers is 2 x 453 x 254 = 230124

Least Common Multiple of 906,508 with GCF Formula

Least Common Multiple of 906,508 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 906,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,508) = 2

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

GCF(906,508) x common factors =2 x 1 = 2

LCM(906,508) = ( 906 × 508 ) / 2

LCM(906,508) = 460248 / 2

LCM(906,508) = 230124


Lets's calculate GCF of 20,9328

2 20, 9328
2 10, 4664
5, 2332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230124/4

Therefore the LCM of Fractions 906/20,508/9328 is 57531

Greatest Common Factor of 20,9328 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,9328 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 9328

List of positive integer factors of 9328 that divides 9328 without a remainder.

1,2,4,8,11,16,22,44,53,88,106,176,212,424,583,848,1166,2332,4664,9328

Greatest Common Factor

We found the factors 20,9328 . The biggest common factor number is the GCF number.
So the greatest common factor 20,9328 is 4.


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 906/20, 508/9328

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 906/20, 508/9328?

Answer: LCM of Numerators as per given numbers 906/20, 508/9328 is

LCM of Numerators i.e. for 906,508 is 230124

GCF of denominators i.e. for 20,9328 is 4.

Thus, LCM of Fractions is 57531.Finally, LCM of Fractions for 906/20, 508/9328 is 57531.