Least Common Multiple of 198/21, 254/5541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/21, 254/5541 quickly i.e. 8382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/21, 254/5541 is 8382.

LCM(198/21, 254/5541) = 8382

LCM of 198/21, 254/5541

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 198/21,254/5541

Given numbers are 198/21,254/5541

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 198,254

Least Common Multiple of Numerators i.e. LCM of 198,254 is 25146.

GCF of Denominators means GCF of 21,5541 as per the given fractions.

GCF of 21,5541 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,254

LCM of Fractions 198/21,254/5541 is 8382

2 198, 254
99, 127

∴ So the LCM of the given numbers is 2 x 99 x 127 = 25146

Least Common Multiple of 198,254 with GCF Formula

Least Common Multiple of 198,254 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 198,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,254) = 2

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

GCF(198,254) x common factors =2 x 1 = 2

LCM(198,254) = ( 198 × 254 ) / 2

LCM(198,254) = 50292 / 2

LCM(198,254) = 25146


Lets's calculate GCF of 21,5541

3 21, 5541
7, 1847

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25146/3

Therefore the LCM of Fractions 198/21,254/5541 is 8382

Greatest Common Factor of 21,5541 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,5541 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 5541

List of positive integer factors of 5541 that divides 5541 without a remainder.

1,3,1847,5541

Greatest Common Factor

We found the factors 21,5541 . The biggest common factor number is the GCF number.
So the greatest common factor 21,5541 is 3.


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 198/21, 254/5541

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 198/21, 254/5541?

Answer: LCM of Numerators as per given numbers 198/21, 254/5541 is

LCM of Numerators i.e. for 198,254 is 25146

GCF of denominators i.e. for 21,5541 is 3.

Thus, LCM of Fractions is 8382.Finally, LCM of Fractions for 198/21, 254/5541 is 8382.