Least Common Multiple of 57/72, 491/21, 835/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/72, 491/21, 835/780 quickly i.e. 7789715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/72, 491/21, 835/780 is 7789715.

LCM(57/72, 491/21, 835/780) = 7789715

LCM of 57/72, 491/21, 835/780

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 57/72,491/21,835/780

Given numbers are 57/72,491/21,835/780

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 57,491,835

Least Common Multiple of Numerators i.e. LCM of 57,491,835 is 23369145.

GCF of Denominators means GCF of 72,21,780 as per the given fractions.

GCF of 72,21,780 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,491,835

LCM of Fractions 57/72,491/21,835/780 is 7789715

Given numbers has no common factors except 1. So, there LCM is their product i.e 23369145

Least Common Multiple of 57,491,835 with GCF Formula

Least Common Multiple of 57,491,835 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 57,491,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,491,835) = 1

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

GCF(57,491,835) x common factors =1 x 1 = 1

LCM(57,491,835) = ( 57 × 491 × 835 ) / 1

LCM(57,491,835) = 23369145 / 1

LCM(57,491,835) = 23369145


Lets's calculate GCF of 72,21,780

3 72, 21, 780
24, 7, 260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23369145/3

Therefore the LCM of Fractions 57/72,491/21,835/780 is 7789715

Greatest Common Factor of 72,21,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,21,780 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 21

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

1,3,7,21

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 72,21,780 . The biggest common factor number is the GCF number.
So the greatest common factor 72,21,780 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 57/72, 491/21, 835/780

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 57/72, 491/21, 835/780?

Answer: LCM of Numerators as per given numbers 57/72, 491/21, 835/780 is

LCM of Numerators i.e. for 57,491,835 is 23369145

GCF of denominators i.e. for 72,21,780 is 3.

Thus, LCM of Fractions is 7789715.Finally, LCM of Fractions for 57/72, 491/21, 835/780 is 7789715.