Least Common Multiple of 476/21, 827/40, 156/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 476/21, 827/40, 156/818 quickly i.e. 15352428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/21, 827/40, 156/818 is 15352428.

LCM(476/21, 827/40, 156/818) = 15352428

LCM of 476/21, 827/40, 156/818

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 476/21,827/40,156/818

Given numbers are 476/21,827/40,156/818

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 476,827,156

Least Common Multiple of Numerators i.e. LCM of 476,827,156 is 15352428.

GCF of Denominators means GCF of 21,40,818 as per the given fractions.

GCF of 21,40,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,827,156

LCM of Fractions 476/21,827/40,156/818 is 15352428

2 476, 827, 156
2 238, 827, 78
119, 827, 39

∴ So the LCM of the given numbers is 2 x 2 x 119 x 827 x 39 = 15352428

Least Common Multiple of 476,827,156 with GCF Formula

Least Common Multiple of 476,827,156 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 476,827,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,827,156) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(476,827,156) x common factors =1 x 4 = 4

LCM(476,827,156) = ( 476 × 827 × 156 ) / 4

LCM(476,827,156) = 61409712 / 4

LCM(476,827,156) = 15352428


Lets's calculate GCF of 21,40,818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15352428/1

Therefore the LCM of Fractions 476/21,827/40,156/818 is 15352428

Greatest Common Factor of 21,40,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,40,818 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 21,40,818 . The biggest common factor number is the GCF number.
So the greatest common factor 21,40,818 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 476/21, 827/40, 156/818

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 476/21, 827/40, 156/818?

Answer: LCM of Numerators as per given numbers 476/21, 827/40, 156/818 is

LCM of Numerators i.e. for 476,827,156 is 15352428

GCF of denominators i.e. for 21,40,818 is 1.

Thus, LCM of Fractions is 15352428.Finally, LCM of Fractions for 476/21, 827/40, 156/818 is 15352428.