Least Common Multiple of 22/820, 56/684, 857/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/820, 56/684, 857/132 quickly i.e. 131978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/820, 56/684, 857/132 is 131978.

LCM(22/820, 56/684, 857/132) = 131978

LCM of 22/820, 56/684, 857/132

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 22/820,56/684,857/132

Given numbers are 22/820,56/684,857/132

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 22,56,857

Least Common Multiple of Numerators i.e. LCM of 22,56,857 is 527912.

GCF of Denominators means GCF of 820,684,132 as per the given fractions.

GCF of 820,684,132 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,56,857

LCM of Fractions 22/820,56/684,857/132 is 131978

2 22, 56, 857
11, 28, 857

∴ So the LCM of the given numbers is 2 x 11 x 28 x 857 = 527912

Least Common Multiple of 22,56,857 with GCF Formula

Least Common Multiple of 22,56,857 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 22,56,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,56,857) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,56,857) x common factors =1 x 2 = 2

LCM(22,56,857) = ( 22 × 56 × 857 ) / 2

LCM(22,56,857) = 1055824 / 2

LCM(22,56,857) = 527912


Lets's calculate GCF of 820,684,132

2 820, 684, 132
2 410, 342, 66
205, 171, 33

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 527912/4

Therefore the LCM of Fractions 22/820,56/684,857/132 is 131978

Greatest Common Factor of 820,684,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,684,132 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 820,684,132 . The biggest common factor number is the GCF number.
So the greatest common factor 820,684,132 is 4.


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 22/820, 56/684, 857/132

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 22/820, 56/684, 857/132?

Answer: LCM of Numerators as per given numbers 22/820, 56/684, 857/132 is

LCM of Numerators i.e. for 22,56,857 is 527912

GCF of denominators i.e. for 820,684,132 is 4.

Thus, LCM of Fractions is 131978.Finally, LCM of Fractions for 22/820, 56/684, 857/132 is 131978.