Least Common Multiple of 90/31, 576/38, 825/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/31, 576/38, 825/195 quickly i.e. 158400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/31, 576/38, 825/195 is 158400.

LCM(90/31, 576/38, 825/195) = 158400

LCM of 90/31, 576/38, 825/195

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 90/31,576/38,825/195

Given numbers are 90/31,576/38,825/195

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 90,576,825

Least Common Multiple of Numerators i.e. LCM of 90,576,825 is 158400.

GCF of Denominators means GCF of 31,38,195 as per the given fractions.

GCF of 31,38,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,576,825

LCM of Fractions 90/31,576/38,825/195 is 158400

2 90, 576, 825
3 45, 288, 825
3 15, 96, 275
5 5, 32, 275
1, 32, 55

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 32 x 55 = 158400

Least Common Multiple of 90,576,825 with GCF Formula

Least Common Multiple of 90,576,825 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 90,576,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,576,825) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(90,576,825) x common factors =3 x 90 = 270

LCM(90,576,825) = ( 90 × 576 × 825 ) / 270

LCM(90,576,825) = 42768000 / 270

LCM(90,576,825) = 158400


Lets's calculate GCF of 31,38,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158400/1

Therefore the LCM of Fractions 90/31,576/38,825/195 is 158400

Greatest Common Factor of 31,38,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,38,195 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 31,38,195 . The biggest common factor number is the GCF number.
So the greatest common factor 31,38,195 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 90/31, 576/38, 825/195

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 90/31, 576/38, 825/195?

Answer: LCM of Numerators as per given numbers 90/31, 576/38, 825/195 is

LCM of Numerators i.e. for 90,576,825 is 158400

GCF of denominators i.e. for 31,38,195 is 1.

Thus, LCM of Fractions is 158400.Finally, LCM of Fractions for 90/31, 576/38, 825/195 is 158400.