Least Common Multiple of 73/50, 21/74, 171/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/50, 21/74, 171/872 quickly i.e. 87381/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/50, 21/74, 171/872 is 87381/2.

LCM(73/50, 21/74, 171/872) = 87381/2

LCM of 73/50, 21/74, 171/872

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 73/50,21/74,171/872

Given numbers are 73/50,21/74,171/872

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 73,21,171

Least Common Multiple of Numerators i.e. LCM of 73,21,171 is 87381.

GCF of Denominators means GCF of 50,74,872 as per the given fractions.

GCF of 50,74,872 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,21,171

LCM of Fractions 73/50,21/74,171/872 is 87381/2

3 73, 21, 171
73, 7, 57

∴ So the LCM of the given numbers is 3 x 73 x 7 x 57 = 87381

Least Common Multiple of 73,21,171 with GCF Formula

Least Common Multiple of 73,21,171 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 73,21,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,21,171) = 1

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

GCF(73,21,171) x common factors =1 x 3 = 3

LCM(73,21,171) = ( 73 × 21 × 171 ) / 3

LCM(73,21,171) = 262143 / 3

LCM(73,21,171) = 87381


Lets's calculate GCF of 50,74,872

2 50, 74, 872
25, 37, 436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87381/2

Therefore the LCM of Fractions 73/50,21/74,171/872 is 87381/2

Greatest Common Factor of 50,74,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,74,872 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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 50,74,872 . The biggest common factor number is the GCF number.
So the greatest common factor 50,74,872 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 73/50, 21/74, 171/872

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 73/50, 21/74, 171/872?

Answer: LCM of Numerators as per given numbers 73/50, 21/74, 171/872 is

LCM of Numerators i.e. for 73,21,171 is 87381

GCF of denominators i.e. for 50,74,872 is 2.

Thus, LCM of Fractions is 87381/2.Finally, LCM of Fractions for 73/50, 21/74, 171/872 is 87381/2.