Least Common Multiple of 50/75, 27/87, 31/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/75, 27/87, 31/45 quickly i.e. 13950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/75, 27/87, 31/45 is 13950.

LCM(50/75, 27/87, 31/45) = 13950

LCM of 50/75, 27/87, 31/45

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 50/75,27/87,31/45

Given numbers are 50/75,27/87,31/45

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 50,27,31

Least Common Multiple of Numerators i.e. LCM of 50,27,31 is 41850.

GCF of Denominators means GCF of 75,87,45 as per the given fractions.

GCF of 75,87,45 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,27,31

LCM of Fractions 50/75,27/87,31/45 is 13950

Given numbers has no common factors except 1. So, there LCM is their product i.e 41850

Least Common Multiple of 50,27,31 with GCF Formula

Least Common Multiple of 50,27,31 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 50,27,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,27,31) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(50,27,31) x common factors =1 x 1 = 1

LCM(50,27,31) = ( 50 × 27 × 31 ) / 1

LCM(50,27,31) = 41850 / 1

LCM(50,27,31) = 41850


Lets's calculate GCF of 75,87,45

3 75, 87, 45
25, 29, 15

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41850/3

Therefore the LCM of Fractions 50/75,27/87,31/45 is 13950

Greatest Common Factor of 75,87,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,87,45 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 75,87,45 . The biggest common factor number is the GCF number.
So the greatest common factor 75,87,45 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 50/75, 27/87, 31/45

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 50/75, 27/87, 31/45?

Answer: LCM of Numerators as per given numbers 50/75, 27/87, 31/45 is

LCM of Numerators i.e. for 50,27,31 is 41850

GCF of denominators i.e. for 75,87,45 is 3.

Thus, LCM of Fractions is 13950.Finally, LCM of Fractions for 50/75, 27/87, 31/45 is 13950.