Least Common Multiple of 856/815, 251/215, 644/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 856/815, 251/215, 644/427 quickly i.e. 34591816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 856/815, 251/215, 644/427 is 34591816.

LCM(856/815, 251/215, 644/427) = 34591816

LCM of 856/815, 251/215, 644/427

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 856/815,251/215,644/427

Given numbers are 856/815,251/215,644/427

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 856,251,644

Least Common Multiple of Numerators i.e. LCM of 856,251,644 is 34591816.

GCF of Denominators means GCF of 815,215,427 as per the given fractions.

GCF of 815,215,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 856,251,644

LCM of Fractions 856/815,251/215,644/427 is 34591816

2 856, 251, 644
2 428, 251, 322
214, 251, 161

∴ So the LCM of the given numbers is 2 x 2 x 214 x 251 x 161 = 34591816

Least Common Multiple of 856,251,644 with GCF Formula

Least Common Multiple of 856,251,644 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 856,251,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,251,644) = 1

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

GCF(856,251,644) x common factors =1 x 4 = 4

LCM(856,251,644) = ( 856 × 251 × 644 ) / 4

LCM(856,251,644) = 138367264 / 4

LCM(856,251,644) = 34591816


Lets's calculate GCF of 815,215,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34591816/1

Therefore the LCM of Fractions 856/815,251/215,644/427 is 34591816

Greatest Common Factor of 815,215,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 815,215,427 By Matching Biggest Common Factor Method

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 815,215,427 . The biggest common factor number is the GCF number.
So the greatest common factor 815,215,427 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 856/815, 251/215, 644/427

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 856/815, 251/215, 644/427?

Answer: LCM of Numerators as per given numbers 856/815, 251/215, 644/427 is

LCM of Numerators i.e. for 856,251,644 is 34591816

GCF of denominators i.e. for 815,215,427 is 1.

Thus, LCM of Fractions is 34591816.Finally, LCM of Fractions for 856/815, 251/215, 644/427 is 34591816.