Least Common Multiple of 56/21, 90/12, 94/51, 40/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/21, 90/12, 94/51, 40/861 quickly i.e. 39480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/21, 90/12, 94/51, 40/861 is 39480.

LCM(56/21, 90/12, 94/51, 40/861) = 39480

LCM of 56/21, 90/12, 94/51, 40/861

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 56/21,90/12,94/51,40/861

Given numbers are 56/21,90/12,94/51,40/861

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 56,90,94,40

Least Common Multiple of Numerators i.e. LCM of 56,90,94,40 is 118440.

GCF of Denominators means GCF of 21,12,51,861 as per the given fractions.

GCF of 21,12,51,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,90,94,40

LCM of Fractions 56/21,90/12,94/51,40/861 is 39480

2 56, 90, 94, 40
2 28, 45, 47, 20
2 14, 45, 47, 10
5 7, 45, 47, 5
7, 9, 47, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 9 x 47 x 1 = 118440

Least Common Multiple of 56,90,94,40 with GCF Formula

Least Common Multiple of 56,90,94,40 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 56,90,94,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,90,94,40) = 2

common factors(in case of two or more numbers have common factors) = 80

GCF(56,90,94,40) x common factors =2 x 80 = 160

LCM(56,90,94,40) = ( 56 × 90 × 94 × 40 ) / 160

LCM(56,90,94,40) = 18950400 / 160

LCM(56,90,94,40) = 118440


Lets's calculate GCF of 21,12,51,861

3 21, 12, 51, 861
7, 4, 17, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118440/3

Therefore the LCM of Fractions 56/21,90/12,94/51,40/861 is 39480

Greatest Common Factor of 21,12,51,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,12,51,861 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 21,12,51,861 . The biggest common factor number is the GCF number.
So the greatest common factor 21,12,51,861 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 56/21, 90/12, 94/51, 40/861

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 56/21, 90/12, 94/51, 40/861?

Answer: LCM of Numerators as per given numbers 56/21, 90/12, 94/51, 40/861 is

LCM of Numerators i.e. for 56,90,94,40 is 118440

GCF of denominators i.e. for 21,12,51,861 is 3.

Thus, LCM of Fractions is 39480.Finally, LCM of Fractions for 56/21, 90/12, 94/51, 40/861 is 39480.