Least Common Multiple of 21/78, 72/57, 657/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/78, 72/57, 657/659 quickly i.e. 36792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/78, 72/57, 657/659 is 36792.

LCM(21/78, 72/57, 657/659) = 36792

LCM of 21/78, 72/57, 657/659

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 21/78,72/57,657/659

Given numbers are 21/78,72/57,657/659

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 21,72,657

Least Common Multiple of Numerators i.e. LCM of 21,72,657 is 36792.

GCF of Denominators means GCF of 78,57,659 as per the given fractions.

GCF of 78,57,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,72,657

LCM of Fractions 21/78,72/57,657/659 is 36792

3 21, 72, 657
3 7, 24, 219
7, 8, 73

∴ So the LCM of the given numbers is 3 x 3 x 7 x 8 x 73 = 36792

Least Common Multiple of 21,72,657 with GCF Formula

Least Common Multiple of 21,72,657 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 21,72,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,72,657) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(21,72,657) x common factors =3 x 9 = 27

LCM(21,72,657) = ( 21 × 72 × 657 ) / 27

LCM(21,72,657) = 993384 / 27

LCM(21,72,657) = 36792


Lets's calculate GCF of 78,57,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36792/1

Therefore the LCM of Fractions 21/78,72/57,657/659 is 36792

Greatest Common Factor of 78,57,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,57,659 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 78,57,659 . The biggest common factor number is the GCF number.
So the greatest common factor 78,57,659 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 21/78, 72/57, 657/659

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 21/78, 72/57, 657/659?

Answer: LCM of Numerators as per given numbers 21/78, 72/57, 657/659 is

LCM of Numerators i.e. for 21,72,657 is 36792

GCF of denominators i.e. for 78,57,659 is 1.

Thus, LCM of Fractions is 36792.Finally, LCM of Fractions for 21/78, 72/57, 657/659 is 36792.