Least Common Multiple of 50/87, 18/72, 32/31, 54/69

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/87, 18/72, 32/31, 54/69 quickly i.e. 21600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/87, 18/72, 32/31, 54/69 is 21600.

LCM(50/87, 18/72, 32/31, 54/69) = 21600

LCM of 50/87, 18/72, 32/31, 54/69

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 50/87,18/72,32/31,54/69

Given numbers are 50/87,18/72,32/31,54/69

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 50,18,32,54

Least Common Multiple of Numerators i.e. LCM of 50,18,32,54 is 21600.

GCF of Denominators means GCF of 87,72,31,69 as per the given fractions.

GCF of 87,72,31,69 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,18,32,54

LCM of Fractions 50/87,18/72,32/31,54/69 is 21600

2 50, 18, 32, 54
3 25, 9, 16, 27
3 25, 3, 16, 9
25, 1, 16, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 25 x 1 x 16 x 3 = 21600

Least Common Multiple of 50,18,32,54 with GCF Formula

Least Common Multiple of 50,18,32,54 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 50,18,32,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,18,32,54) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(50,18,32,54) x common factors =2 x 36 = 72

LCM(50,18,32,54) = ( 50 × 18 × 32 × 54 ) / 72

LCM(50,18,32,54) = 1555200 / 72

LCM(50,18,32,54) = 21600


Lets's calculate GCF of 87,72,31,69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21600/1

Therefore the LCM of Fractions 50/87,18/72,32/31,54/69 is 21600

Greatest Common Factor of 87,72,31,69 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,72,31,69 By Matching Biggest Common Factor Method

Factors of 87

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

1,3,29,87

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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Greatest Common Factor

We found the factors 87,72,31,69 . The biggest common factor number is the GCF number.
So the greatest common factor 87,72,31,69 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 50/87, 18/72, 32/31, 54/69

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 50/87, 18/72, 32/31, 54/69?

Answer: LCM of Numerators as per given numbers 50/87, 18/72, 32/31, 54/69 is

LCM of Numerators i.e. for 50,18,32,54 is 21600

GCF of denominators i.e. for 87,72,31,69 is 1.

Thus, LCM of Fractions is 21600.Finally, LCM of Fractions for 50/87, 18/72, 32/31, 54/69 is 21600.