Least Common Multiple of 54/218, 5657/2542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/218, 5657/2542 quickly i.e. 152739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/218, 5657/2542 is 152739.

LCM(54/218, 5657/2542) = 152739

LCM of 54/218, 5657/2542

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 54/218,5657/2542

Given numbers are 54/218,5657/2542

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 54,5657

Least Common Multiple of Numerators i.e. LCM of 54,5657 is 305478.

GCF of Denominators means GCF of 218,2542 as per the given fractions.

GCF of 218,2542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,5657

LCM of Fractions 54/218,5657/2542 is 152739

Given numbers has no common factors except 1. So, there LCM is their product i.e 305478

Least Common Multiple of 54,5657 with GCF Formula

Least Common Multiple of 54,5657 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 54,5657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,5657) = 1

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

GCF(54,5657) x common factors =1 x 1 = 1

LCM(54,5657) = ( 54 × 5657 ) / 1

LCM(54,5657) = 305478 / 1

LCM(54,5657) = 305478


Lets's calculate GCF of 218,2542

2 218, 2542
109, 1271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305478/2

Therefore the LCM of Fractions 54/218,5657/2542 is 152739

Greatest Common Factor of 218,2542 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,2542 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 2542

List of positive integer factors of 2542 that divides 2542 without a remainder.

1,2,31,41,62,82,1271,2542

Greatest Common Factor

We found the factors 218,2542 . The biggest common factor number is the GCF number.
So the greatest common factor 218,2542 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 54/218, 5657/2542

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 54/218, 5657/2542?

Answer: LCM of Numerators as per given numbers 54/218, 5657/2542 is

LCM of Numerators i.e. for 54,5657 is 305478

GCF of denominators i.e. for 218,2542 is 2.

Thus, LCM of Fractions is 152739.Finally, LCM of Fractions for 54/218, 5657/2542 is 152739.