Least Common Multiple of 420/576, 879/171, 822/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/576, 879/171, 822/261 quickly i.e. 16859220/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/576, 879/171, 822/261 is 16859220/9.

LCM(420/576, 879/171, 822/261) = 16859220/9

LCM of 420/576, 879/171, 822/261

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 420/576,879/171,822/261

Given numbers are 420/576,879/171,822/261

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 420,879,822

Least Common Multiple of Numerators i.e. LCM of 420,879,822 is 16859220.

GCF of Denominators means GCF of 576,171,261 as per the given fractions.

GCF of 576,171,261 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,879,822

LCM of Fractions 420/576,879/171,822/261 is 16859220/9

2 420, 879, 822
3 210, 879, 411
70, 293, 137

∴ So the LCM of the given numbers is 2 x 3 x 70 x 293 x 137 = 16859220

Least Common Multiple of 420,879,822 with GCF Formula

Least Common Multiple of 420,879,822 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 420,879,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,879,822) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(420,879,822) x common factors =3 x 6 = 18

LCM(420,879,822) = ( 420 × 879 × 822 ) / 18

LCM(420,879,822) = 303465960 / 18

LCM(420,879,822) = 16859220


Lets's calculate GCF of 576,171,261

3 576, 171, 261
3 192, 57, 87
64, 19, 29

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16859220/9

Therefore the LCM of Fractions 420/576,879/171,822/261 is 16859220/9

Greatest Common Factor of 576,171,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,171,261 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 576,171,261 . The biggest common factor number is the GCF number.
So the greatest common factor 576,171,261 is 9.


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 420/576, 879/171, 822/261

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 420/576, 879/171, 822/261?

Answer: LCM of Numerators as per given numbers 420/576, 879/171, 822/261 is

LCM of Numerators i.e. for 420,879,822 is 16859220

GCF of denominators i.e. for 576,171,261 is 9.

Thus, LCM of Fractions is 16859220/9.Finally, LCM of Fractions for 420/576, 879/171, 822/261 is 16859220/9.