Least Common Multiple of 4557/89, 4116/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4557/89, 4116/249 quickly i.e. 127596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4557/89, 4116/249 is 127596.

LCM(4557/89, 4116/249) = 127596

LCM of 4557/89, 4116/249

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 4557/89,4116/249

Given numbers are 4557/89,4116/249

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 4557,4116

Least Common Multiple of Numerators i.e. LCM of 4557,4116 is 127596.

GCF of Denominators means GCF of 89,249 as per the given fractions.

GCF of 89,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4557,4116

LCM of Fractions 4557/89,4116/249 is 127596

3 4557, 4116
7 1519, 1372
7 217, 196
31, 28

∴ So the LCM of the given numbers is 3 x 7 x 7 x 31 x 28 = 127596

Least Common Multiple of 4557,4116 with GCF Formula

Least Common Multiple of 4557,4116 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 4557,4116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4557,4116) = 147

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

GCF(4557,4116) x common factors =147 x 1 = 147

LCM(4557,4116) = ( 4557 × 4116 ) / 147

LCM(4557,4116) = 18756612 / 147

LCM(4557,4116) = 127596


Lets's calculate GCF of 89,249

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127596/1

Therefore the LCM of Fractions 4557/89,4116/249 is 127596

Greatest Common Factor of 89,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,249 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 89,249 . The biggest common factor number is the GCF number.
So the greatest common factor 89,249 is 1.


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 4557/89, 4116/249

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 4557/89, 4116/249?

Answer: LCM of Numerators as per given numbers 4557/89, 4116/249 is

LCM of Numerators i.e. for 4557,4116 is 127596

GCF of denominators i.e. for 89,249 is 1.

Thus, LCM of Fractions is 127596.Finally, LCM of Fractions for 4557/89, 4116/249 is 127596.