Least Common Multiple of 2380/531, 8080/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2380/531, 8080/636 quickly i.e. 961520/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2380/531, 8080/636 is 961520/3.

LCM(2380/531, 8080/636) = 961520/3

LCM of 2380/531, 8080/636

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 2380/531,8080/636

Given numbers are 2380/531,8080/636

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 2380,8080

Least Common Multiple of Numerators i.e. LCM of 2380,8080 is 961520.

GCF of Denominators means GCF of 531,636 as per the given fractions.

GCF of 531,636 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2380,8080

LCM of Fractions 2380/531,8080/636 is 961520/3

2 2380, 8080
2 1190, 4040
5 595, 2020
119, 404

∴ So the LCM of the given numbers is 2 x 2 x 5 x 119 x 404 = 961520

Least Common Multiple of 2380,8080 with GCF Formula

Least Common Multiple of 2380,8080 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 2380,8080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2380,8080) = 20

common factors(in case of two or more numbers have common factors) = 1

GCF(2380,8080) x common factors =20 x 1 = 20

LCM(2380,8080) = ( 2380 × 8080 ) / 20

LCM(2380,8080) = 19230400 / 20

LCM(2380,8080) = 961520


Lets's calculate GCF of 531,636

3 531, 636
177, 212

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 961520/3

Therefore the LCM of Fractions 2380/531,8080/636 is 961520/3

Greatest Common Factor of 531,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,636 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 531,636 . The biggest common factor number is the GCF number.
So the greatest common factor 531,636 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2380/531, 8080/636

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 2380/531, 8080/636?

Answer: LCM of Numerators as per given numbers 2380/531, 8080/636 is

LCM of Numerators i.e. for 2380,8080 is 961520

GCF of denominators i.e. for 531,636 is 3.

Thus, LCM of Fractions is 961520/3.Finally, LCM of Fractions for 2380/531, 8080/636 is 961520/3.