Least Common Multiple of 500/468, 558/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/468, 558/892 quickly i.e. 34875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/468, 558/892 is 34875.

LCM(500/468, 558/892) = 34875

LCM of 500/468, 558/892

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 500/468,558/892

Given numbers are 500/468,558/892

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 500,558

Least Common Multiple of Numerators i.e. LCM of 500,558 is 139500.

GCF of Denominators means GCF of 468,892 as per the given fractions.

GCF of 468,892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,558

LCM of Fractions 500/468,558/892 is 34875

2 500, 558
250, 279

∴ So the LCM of the given numbers is 2 x 250 x 279 = 139500

Least Common Multiple of 500,558 with GCF Formula

Least Common Multiple of 500,558 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 500,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,558) = 2

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

GCF(500,558) x common factors =2 x 1 = 2

LCM(500,558) = ( 500 × 558 ) / 2

LCM(500,558) = 279000 / 2

LCM(500,558) = 139500


Lets's calculate GCF of 468,892

2 468, 892
2 234, 446
117, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139500/4

Therefore the LCM of Fractions 500/468,558/892 is 34875

Greatest Common Factor of 468,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,892 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 468,892 . The biggest common factor number is the GCF number.
So the greatest common factor 468,892 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 500/468, 558/892

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 500/468, 558/892?

Answer: LCM of Numerators as per given numbers 500/468, 558/892 is

LCM of Numerators i.e. for 500,558 is 139500

GCF of denominators i.e. for 468,892 is 4.

Thus, LCM of Fractions is 34875.Finally, LCM of Fractions for 500/468, 558/892 is 34875.