Least Common Multiple of 20/630, 12/269, 582/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/630, 12/269, 582/131 quickly i.e. 5820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/630, 12/269, 582/131 is 5820.

LCM(20/630, 12/269, 582/131) = 5820

LCM of 20/630, 12/269, 582/131

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 20/630,12/269,582/131

Given numbers are 20/630,12/269,582/131

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 20,12,582

Least Common Multiple of Numerators i.e. LCM of 20,12,582 is 5820.

GCF of Denominators means GCF of 630,269,131 as per the given fractions.

GCF of 630,269,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,12,582

LCM of Fractions 20/630,12/269,582/131 is 5820

2 20, 12, 582
2 10, 6, 291
3 5, 3, 291
5, 1, 97

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 97 = 5820

Least Common Multiple of 20,12,582 with GCF Formula

Least Common Multiple of 20,12,582 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 20,12,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,12,582) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(20,12,582) x common factors =2 x 12 = 24

LCM(20,12,582) = ( 20 × 12 × 582 ) / 24

LCM(20,12,582) = 139680 / 24

LCM(20,12,582) = 5820


Lets's calculate GCF of 630,269,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5820/1

Therefore the LCM of Fractions 20/630,12/269,582/131 is 5820

Greatest Common Factor of 630,269,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,269,131 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 630,269,131 . The biggest common factor number is the GCF number.
So the greatest common factor 630,269,131 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 20/630, 12/269, 582/131

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 20/630, 12/269, 582/131?

Answer: LCM of Numerators as per given numbers 20/630, 12/269, 582/131 is

LCM of Numerators i.e. for 20,12,582 is 5820

GCF of denominators i.e. for 630,269,131 is 1.

Thus, LCM of Fractions is 5820.Finally, LCM of Fractions for 20/630, 12/269, 582/131 is 5820.