Least Common Multiple of 421/22, 999/54, 504/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 421/22, 999/54, 504/520 quickly i.e. 11776212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/22, 999/54, 504/520 is 11776212.

LCM(421/22, 999/54, 504/520) = 11776212

LCM of 421/22, 999/54, 504/520

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 421/22,999/54,504/520

Given numbers are 421/22,999/54,504/520

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 421,999,504

Least Common Multiple of Numerators i.e. LCM of 421,999,504 is 23552424.

GCF of Denominators means GCF of 22,54,520 as per the given fractions.

GCF of 22,54,520 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,999,504

LCM of Fractions 421/22,999/54,504/520 is 11776212

3 421, 999, 504
3 421, 333, 168
421, 111, 56

∴ So the LCM of the given numbers is 3 x 3 x 421 x 111 x 56 = 23552424

Least Common Multiple of 421,999,504 with GCF Formula

Least Common Multiple of 421,999,504 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 421,999,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,999,504) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(421,999,504) x common factors =1 x 9 = 9

LCM(421,999,504) = ( 421 × 999 × 504 ) / 9

LCM(421,999,504) = 211971816 / 9

LCM(421,999,504) = 23552424


Lets's calculate GCF of 22,54,520

2 22, 54, 520
11, 27, 260

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23552424/2

Therefore the LCM of Fractions 421/22,999/54,504/520 is 11776212

Greatest Common Factor of 22,54,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,54,520 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 22,54,520 . The biggest common factor number is the GCF number.
So the greatest common factor 22,54,520 is 2.


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 421/22, 999/54, 504/520

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 421/22, 999/54, 504/520?

Answer: LCM of Numerators as per given numbers 421/22, 999/54, 504/520 is

LCM of Numerators i.e. for 421,999,504 is 23552424

GCF of denominators i.e. for 22,54,520 is 2.

Thus, LCM of Fractions is 11776212.Finally, LCM of Fractions for 421/22, 999/54, 504/520 is 11776212.