Least Common Multiple of 543/156, 5004/8794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 543/156, 5004/8794 quickly i.e. 452862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 543/156, 5004/8794 is 452862.

LCM(543/156, 5004/8794) = 452862

LCM of 543/156, 5004/8794

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 543/156,5004/8794

Given numbers are 543/156,5004/8794

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 543,5004

Least Common Multiple of Numerators i.e. LCM of 543,5004 is 905724.

GCF of Denominators means GCF of 156,8794 as per the given fractions.

GCF of 156,8794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 543,5004

LCM of Fractions 543/156,5004/8794 is 452862

3 543, 5004
181, 1668

∴ So the LCM of the given numbers is 3 x 181 x 1668 = 905724

Least Common Multiple of 543,5004 with GCF Formula

Least Common Multiple of 543,5004 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 543,5004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,5004) = 3

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

GCF(543,5004) x common factors =3 x 1 = 3

LCM(543,5004) = ( 543 × 5004 ) / 3

LCM(543,5004) = 2717172 / 3

LCM(543,5004) = 905724


Lets's calculate GCF of 156,8794

2 156, 8794
78, 4397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 905724/2

Therefore the LCM of Fractions 543/156,5004/8794 is 452862

Greatest Common Factor of 156,8794 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,8794 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 8794

List of positive integer factors of 8794 that divides 8794 without a remainder.

1,2,4397,8794

Greatest Common Factor

We found the factors 156,8794 . The biggest common factor number is the GCF number.
So the greatest common factor 156,8794 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 543/156, 5004/8794

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 543/156, 5004/8794?

Answer: LCM of Numerators as per given numbers 543/156, 5004/8794 is

LCM of Numerators i.e. for 543,5004 is 905724

GCF of denominators i.e. for 156,8794 is 2.

Thus, LCM of Fractions is 452862.Finally, LCM of Fractions for 543/156, 5004/8794 is 452862.