Least Common Multiple of 21/168, 547/231, 254/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/168, 547/231, 254/525 quickly i.e. 138938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/168, 547/231, 254/525 is 138938.

LCM(21/168, 547/231, 254/525) = 138938

LCM of 21/168, 547/231, 254/525

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 21/168,547/231,254/525

Given numbers are 21/168,547/231,254/525

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 21,547,254

Least Common Multiple of Numerators i.e. LCM of 21,547,254 is 2917698.

GCF of Denominators means GCF of 168,231,525 as per the given fractions.

GCF of 168,231,525 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,547,254

LCM of Fractions 21/168,547/231,254/525 is 138938

Given numbers has no common factors except 1. So, there LCM is their product i.e 2917698

Least Common Multiple of 21,547,254 with GCF Formula

Least Common Multiple of 21,547,254 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 21,547,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,547,254) = 1

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

GCF(21,547,254) x common factors =1 x 1 = 1

LCM(21,547,254) = ( 21 × 547 × 254 ) / 1

LCM(21,547,254) = 2917698 / 1

LCM(21,547,254) = 2917698


Lets's calculate GCF of 168,231,525

3 168, 231, 525
7 56, 77, 175
8, 11, 25

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2917698/21

Therefore the LCM of Fractions 21/168,547/231,254/525 is 138938

Greatest Common Factor of 168,231,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,231,525 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 168,231,525 . The biggest common factor number is the GCF number.
So the greatest common factor 168,231,525 is 21.


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 21/168, 547/231, 254/525

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 21/168, 547/231, 254/525?

Answer: LCM of Numerators as per given numbers 21/168, 547/231, 254/525 is

LCM of Numerators i.e. for 21,547,254 is 2917698

GCF of denominators i.e. for 168,231,525 is 21.

Thus, LCM of Fractions is 138938.Finally, LCM of Fractions for 21/168, 547/231, 254/525 is 138938.