Least Common Multiple of 531/90, 531/61, 132/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 531/90, 531/61, 132/514 quickly i.e. 23364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/90, 531/61, 132/514 is 23364.

LCM(531/90, 531/61, 132/514) = 23364

LCM of 531/90, 531/61, 132/514

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 531/90,531/61,132/514

Given numbers are 531/90,531/61,132/514

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 531,531,132

Least Common Multiple of Numerators i.e. LCM of 531,531,132 is 23364.

GCF of Denominators means GCF of 90,61,514 as per the given fractions.

GCF of 90,61,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,531,132

LCM of Fractions 531/90,531/61,132/514 is 23364

3 531, 531, 132
3 177, 177, 44
59 59, 59, 44
1, 1, 44

∴ So the LCM of the given numbers is 3 x 3 x 59 x 1 x 1 x 44 = 23364

Least Common Multiple of 531,531,132 with GCF Formula

Least Common Multiple of 531,531,132 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 531,531,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,531,132) = 3

common factors(in case of two or more numbers have common factors) = 531

GCF(531,531,132) x common factors =3 x 531 = 1593

LCM(531,531,132) = ( 531 × 531 × 132 ) / 1593

LCM(531,531,132) = 37218852 / 1593

LCM(531,531,132) = 23364


Lets's calculate GCF of 90,61,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23364/1

Therefore the LCM of Fractions 531/90,531/61,132/514 is 23364

Greatest Common Factor of 90,61,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,61,514 By Matching Biggest Common Factor Method

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 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 90,61,514 . The biggest common factor number is the GCF number.
So the greatest common factor 90,61,514 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 531/90, 531/61, 132/514

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 531/90, 531/61, 132/514?

Answer: LCM of Numerators as per given numbers 531/90, 531/61, 132/514 is

LCM of Numerators i.e. for 531,531,132 is 23364

GCF of denominators i.e. for 90,61,514 is 1.

Thus, LCM of Fractions is 23364.Finally, LCM of Fractions for 531/90, 531/61, 132/514 is 23364.