Least Common Multiple of 75/25, 54/90, 36/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/25, 54/90, 36/685 quickly i.e. 540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/25, 54/90, 36/685 is 540.

LCM(75/25, 54/90, 36/685) = 540

LCM of 75/25, 54/90, 36/685

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 75/25,54/90,36/685

Given numbers are 75/25,54/90,36/685

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 75,54,36

Least Common Multiple of Numerators i.e. LCM of 75,54,36 is 2700.

GCF of Denominators means GCF of 25,90,685 as per the given fractions.

GCF of 25,90,685 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,54,36

LCM of Fractions 75/25,54/90,36/685 is 540

2 75, 54, 36
3 75, 27, 18
3 25, 9, 6
25, 3, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 25 x 3 x 2 = 2700

Least Common Multiple of 75,54,36 with GCF Formula

Least Common Multiple of 75,54,36 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 75,54,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,54,36) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(75,54,36) x common factors =3 x 18 = 54

LCM(75,54,36) = ( 75 × 54 × 36 ) / 54

LCM(75,54,36) = 145800 / 54

LCM(75,54,36) = 2700


Lets's calculate GCF of 25,90,685

5 25, 90, 685
5, 18, 137

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2700/5

Therefore the LCM of Fractions 75/25,54/90,36/685 is 540

Greatest Common Factor of 25,90,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,90,685 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 25,90,685 . The biggest common factor number is the GCF number.
So the greatest common factor 25,90,685 is 5.


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 75/25, 54/90, 36/685

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 75/25, 54/90, 36/685?

Answer: LCM of Numerators as per given numbers 75/25, 54/90, 36/685 is

LCM of Numerators i.e. for 75,54,36 is 2700

GCF of denominators i.e. for 25,90,685 is 5.

Thus, LCM of Fractions is 540.Finally, LCM of Fractions for 75/25, 54/90, 36/685 is 540.