Least Common Multiple of 20/50, 53/77, 504/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/50, 53/77, 504/424 quickly i.e. 133560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/50, 53/77, 504/424 is 133560.

LCM(20/50, 53/77, 504/424) = 133560

LCM of 20/50, 53/77, 504/424

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 20/50,53/77,504/424

Given numbers are 20/50,53/77,504/424

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 20,53,504

Least Common Multiple of Numerators i.e. LCM of 20,53,504 is 133560.

GCF of Denominators means GCF of 50,77,424 as per the given fractions.

GCF of 50,77,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,53,504

LCM of Fractions 20/50,53/77,504/424 is 133560

2 20, 53, 504
2 10, 53, 252
5, 53, 126

∴ So the LCM of the given numbers is 2 x 2 x 5 x 53 x 126 = 133560

Least Common Multiple of 20,53,504 with GCF Formula

Least Common Multiple of 20,53,504 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 20,53,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,53,504) = 1

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

GCF(20,53,504) x common factors =1 x 4 = 4

LCM(20,53,504) = ( 20 × 53 × 504 ) / 4

LCM(20,53,504) = 534240 / 4

LCM(20,53,504) = 133560


Lets's calculate GCF of 50,77,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133560/1

Therefore the LCM of Fractions 20/50,53/77,504/424 is 133560

Greatest Common Factor of 50,77,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,77,424 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 50,77,424 . The biggest common factor number is the GCF number.
So the greatest common factor 50,77,424 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 20/50, 53/77, 504/424

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 20/50, 53/77, 504/424?

Answer: LCM of Numerators as per given numbers 20/50, 53/77, 504/424 is

LCM of Numerators i.e. for 20,53,504 is 133560

GCF of denominators i.e. for 50,77,424 is 1.

Thus, LCM of Fractions is 133560.Finally, LCM of Fractions for 20/50, 53/77, 504/424 is 133560.