Least Common Multiple of 408/57, 579/13, 471/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/57, 579/13, 471/220 quickly i.e. 12362808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/57, 579/13, 471/220 is 12362808.

LCM(408/57, 579/13, 471/220) = 12362808

LCM of 408/57, 579/13, 471/220

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 408/57,579/13,471/220

Given numbers are 408/57,579/13,471/220

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 408,579,471

Least Common Multiple of Numerators i.e. LCM of 408,579,471 is 12362808.

GCF of Denominators means GCF of 57,13,220 as per the given fractions.

GCF of 57,13,220 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,579,471

LCM of Fractions 408/57,579/13,471/220 is 12362808

3 408, 579, 471
136, 193, 157

∴ So the LCM of the given numbers is 3 x 136 x 193 x 157 = 12362808

Least Common Multiple of 408,579,471 with GCF Formula

Least Common Multiple of 408,579,471 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 408,579,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,579,471) = 3

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

GCF(408,579,471) x common factors =3 x 3 = 9

LCM(408,579,471) = ( 408 × 579 × 471 ) / 9

LCM(408,579,471) = 111265272 / 9

LCM(408,579,471) = 12362808


Lets's calculate GCF of 57,13,220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12362808/1

Therefore the LCM of Fractions 408/57,579/13,471/220 is 12362808

Greatest Common Factor of 57,13,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,13,220 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 57,13,220 . The biggest common factor number is the GCF number.
So the greatest common factor 57,13,220 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 408/57, 579/13, 471/220

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 408/57, 579/13, 471/220?

Answer: LCM of Numerators as per given numbers 408/57, 579/13, 471/220 is

LCM of Numerators i.e. for 408,579,471 is 12362808

GCF of denominators i.e. for 57,13,220 is 1.

Thus, LCM of Fractions is 12362808.Finally, LCM of Fractions for 408/57, 579/13, 471/220 is 12362808.