Least Common Multiple of 21/172, 636/974, 756/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/172, 636/974, 756/843 quickly i.e. 40068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/172, 636/974, 756/843 is 40068.

LCM(21/172, 636/974, 756/843) = 40068

LCM of 21/172, 636/974, 756/843

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 21/172,636/974,756/843

Given numbers are 21/172,636/974,756/843

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 21,636,756

Least Common Multiple of Numerators i.e. LCM of 21,636,756 is 40068.

GCF of Denominators means GCF of 172,974,843 as per the given fractions.

GCF of 172,974,843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,636,756

LCM of Fractions 21/172,636/974,756/843 is 40068

2 21, 636, 756
2 21, 318, 378
3 21, 159, 189
7 7, 53, 63
1, 53, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 53 x 9 = 40068

Least Common Multiple of 21,636,756 with GCF Formula

Least Common Multiple of 21,636,756 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 21,636,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,636,756) = 3

common factors(in case of two or more numbers have common factors) = 84

GCF(21,636,756) x common factors =3 x 84 = 252

LCM(21,636,756) = ( 21 × 636 × 756 ) / 252

LCM(21,636,756) = 10097136 / 252

LCM(21,636,756) = 40068


Lets's calculate GCF of 172,974,843

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40068/1

Therefore the LCM of Fractions 21/172,636/974,756/843 is 40068

Greatest Common Factor of 172,974,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,974,843 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 172,974,843 . The biggest common factor number is the GCF number.
So the greatest common factor 172,974,843 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 21/172, 636/974, 756/843

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 21/172, 636/974, 756/843?

Answer: LCM of Numerators as per given numbers 21/172, 636/974, 756/843 is

LCM of Numerators i.e. for 21,636,756 is 40068

GCF of denominators i.e. for 172,974,843 is 1.

Thus, LCM of Fractions is 40068.Finally, LCM of Fractions for 21/172, 636/974, 756/843 is 40068.