Least Common Multiple of 90/253, 20/869, 954/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/253, 20/869, 954/732 quickly i.e. 9540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/253, 20/869, 954/732 is 9540.

LCM(90/253, 20/869, 954/732) = 9540

LCM of 90/253, 20/869, 954/732

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 90/253,20/869,954/732

Given numbers are 90/253,20/869,954/732

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 90,20,954

Least Common Multiple of Numerators i.e. LCM of 90,20,954 is 9540.

GCF of Denominators means GCF of 253,869,732 as per the given fractions.

GCF of 253,869,732 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,20,954

LCM of Fractions 90/253,20/869,954/732 is 9540

2 90, 20, 954
3 45, 10, 477
3 15, 10, 159
5 5, 10, 53
1, 2, 53

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 2 x 53 = 9540

Least Common Multiple of 90,20,954 with GCF Formula

Least Common Multiple of 90,20,954 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 90,20,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,20,954) = 2

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

GCF(90,20,954) x common factors =2 x 90 = 180

LCM(90,20,954) = ( 90 × 20 × 954 ) / 180

LCM(90,20,954) = 1717200 / 180

LCM(90,20,954) = 9540


Lets's calculate GCF of 253,869,732

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9540/1

Therefore the LCM of Fractions 90/253,20/869,954/732 is 9540

Greatest Common Factor of 253,869,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,869,732 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 253,869,732 . The biggest common factor number is the GCF number.
So the greatest common factor 253,869,732 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 90/253, 20/869, 954/732

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 90/253, 20/869, 954/732?

Answer: LCM of Numerators as per given numbers 90/253, 20/869, 954/732 is

LCM of Numerators i.e. for 90,20,954 is 9540

GCF of denominators i.e. for 253,869,732 is 1.

Thus, LCM of Fractions is 9540.Finally, LCM of Fractions for 90/253, 20/869, 954/732 is 9540.