Least Common Multiple of 57/859, 147/642, 237/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/859, 147/642, 237/413 quickly i.e. 220647 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/859, 147/642, 237/413 is 220647.

LCM(57/859, 147/642, 237/413) = 220647

LCM of 57/859, 147/642, 237/413

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 57/859,147/642,237/413

Given numbers are 57/859,147/642,237/413

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 57,147,237

Least Common Multiple of Numerators i.e. LCM of 57,147,237 is 220647.

GCF of Denominators means GCF of 859,642,413 as per the given fractions.

GCF of 859,642,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,147,237

LCM of Fractions 57/859,147/642,237/413 is 220647

3 57, 147, 237
19, 49, 79

∴ So the LCM of the given numbers is 3 x 19 x 49 x 79 = 220647

Least Common Multiple of 57,147,237 with GCF Formula

Least Common Multiple of 57,147,237 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 57,147,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,147,237) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(57,147,237) x common factors =3 x 3 = 9

LCM(57,147,237) = ( 57 × 147 × 237 ) / 9

LCM(57,147,237) = 1985823 / 9

LCM(57,147,237) = 220647


Lets's calculate GCF of 859,642,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220647/1

Therefore the LCM of Fractions 57/859,147/642,237/413 is 220647

Greatest Common Factor of 859,642,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,642,413 By Matching Biggest Common Factor Method

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 859,642,413 . The biggest common factor number is the GCF number.
So the greatest common factor 859,642,413 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 57/859, 147/642, 237/413

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 57/859, 147/642, 237/413?

Answer: LCM of Numerators as per given numbers 57/859, 147/642, 237/413 is

LCM of Numerators i.e. for 57,147,237 is 220647

GCF of denominators i.e. for 859,642,413 is 1.

Thus, LCM of Fractions is 220647.Finally, LCM of Fractions for 57/859, 147/642, 237/413 is 220647.