Least Common Multiple of 50/72, 52/891, 820/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/72, 52/891, 820/273 quickly i.e. 53300/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/72, 52/891, 820/273 is 53300/3.

LCM(50/72, 52/891, 820/273) = 53300/3

LCM of 50/72, 52/891, 820/273

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 50/72,52/891,820/273

Given numbers are 50/72,52/891,820/273

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 50,52,820

Least Common Multiple of Numerators i.e. LCM of 50,52,820 is 53300.

GCF of Denominators means GCF of 72,891,273 as per the given fractions.

GCF of 72,891,273 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,52,820

LCM of Fractions 50/72,52/891,820/273 is 53300/3

2 50, 52, 820
2 25, 26, 410
5 25, 13, 205
5, 13, 41

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 13 x 41 = 53300

Least Common Multiple of 50,52,820 with GCF Formula

Least Common Multiple of 50,52,820 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 50,52,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,52,820) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(50,52,820) x common factors =2 x 20 = 40

LCM(50,52,820) = ( 50 × 52 × 820 ) / 40

LCM(50,52,820) = 2132000 / 40

LCM(50,52,820) = 53300


Lets's calculate GCF of 72,891,273

3 72, 891, 273
24, 297, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53300/3

Therefore the LCM of Fractions 50/72,52/891,820/273 is 53300/3

Greatest Common Factor of 72,891,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,891,273 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 72,891,273 . The biggest common factor number is the GCF number.
So the greatest common factor 72,891,273 is 3.


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 50/72, 52/891, 820/273

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 50/72, 52/891, 820/273?

Answer: LCM of Numerators as per given numbers 50/72, 52/891, 820/273 is

LCM of Numerators i.e. for 50,52,820 is 53300

GCF of denominators i.e. for 72,891,273 is 3.

Thus, LCM of Fractions is 53300/3.Finally, LCM of Fractions for 50/72, 52/891, 820/273 is 53300/3.