Least Common Multiple of 56/26, 90/80, 387/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/26, 90/80, 387/476 quickly i.e. 54180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/26, 90/80, 387/476 is 54180.

LCM(56/26, 90/80, 387/476) = 54180

LCM of 56/26, 90/80, 387/476

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 56/26,90/80,387/476

Given numbers are 56/26,90/80,387/476

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 56,90,387

Least Common Multiple of Numerators i.e. LCM of 56,90,387 is 108360.

GCF of Denominators means GCF of 26,80,476 as per the given fractions.

GCF of 26,80,476 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,90,387

LCM of Fractions 56/26,90/80,387/476 is 54180

2 56, 90, 387
3 28, 45, 387
3 28, 15, 129
28, 5, 43

∴ So the LCM of the given numbers is 2 x 3 x 3 x 28 x 5 x 43 = 108360

Least Common Multiple of 56,90,387 with GCF Formula

Least Common Multiple of 56,90,387 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 56,90,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,90,387) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(56,90,387) x common factors =1 x 18 = 18

LCM(56,90,387) = ( 56 × 90 × 387 ) / 18

LCM(56,90,387) = 1950480 / 18

LCM(56,90,387) = 108360


Lets's calculate GCF of 26,80,476

2 26, 80, 476
13, 40, 238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108360/2

Therefore the LCM of Fractions 56/26,90/80,387/476 is 54180

Greatest Common Factor of 26,80,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,80,476 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 26,80,476 . The biggest common factor number is the GCF number.
So the greatest common factor 26,80,476 is 2.


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 56/26, 90/80, 387/476

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 56/26, 90/80, 387/476?

Answer: LCM of Numerators as per given numbers 56/26, 90/80, 387/476 is

LCM of Numerators i.e. for 56,90,387 is 108360

GCF of denominators i.e. for 26,80,476 is 2.

Thus, LCM of Fractions is 54180.Finally, LCM of Fractions for 56/26, 90/80, 387/476 is 54180.