Least Common Multiple of 50/225, 972/933, 108/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/225, 972/933, 108/189 quickly i.e. 8100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/225, 972/933, 108/189 is 8100.

LCM(50/225, 972/933, 108/189) = 8100

LCM of 50/225, 972/933, 108/189

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 50/225,972/933,108/189

Given numbers are 50/225,972/933,108/189

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 50,972,108

Least Common Multiple of Numerators i.e. LCM of 50,972,108 is 24300.

GCF of Denominators means GCF of 225,933,189 as per the given fractions.

GCF of 225,933,189 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,972,108

LCM of Fractions 50/225,972/933,108/189 is 8100

2 50, 972, 108
2 25, 486, 54
3 25, 243, 27
3 25, 81, 9
3 25, 27, 3
25, 9, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 25 x 9 x 1 = 24300

Least Common Multiple of 50,972,108 with GCF Formula

Least Common Multiple of 50,972,108 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 50,972,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,972,108) = 2

common factors(in case of two or more numbers have common factors) = 108

GCF(50,972,108) x common factors =2 x 108 = 216

LCM(50,972,108) = ( 50 × 972 × 108 ) / 216

LCM(50,972,108) = 5248800 / 216

LCM(50,972,108) = 24300


Lets's calculate GCF of 225,933,189

3 225, 933, 189
75, 311, 63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24300/3

Therefore the LCM of Fractions 50/225,972/933,108/189 is 8100

Greatest Common Factor of 225,933,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,933,189 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 225,933,189 . The biggest common factor number is the GCF number.
So the greatest common factor 225,933,189 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 50/225, 972/933, 108/189

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 50/225, 972/933, 108/189?

Answer: LCM of Numerators as per given numbers 50/225, 972/933, 108/189 is

LCM of Numerators i.e. for 50,972,108 is 24300

GCF of denominators i.e. for 225,933,189 is 3.

Thus, LCM of Fractions is 8100.Finally, LCM of Fractions for 50/225, 972/933, 108/189 is 8100.