Least Common Multiple of 636/39, 270/2340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 636/39, 270/2340 quickly i.e. 28620/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/39, 270/2340 is 28620/39.

LCM(636/39, 270/2340) = 28620/39

LCM of 636/39, 270/2340

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 636/39,270/2340

Given numbers are 636/39,270/2340

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 636,270

Least Common Multiple of Numerators i.e. LCM of 636,270 is 28620.

GCF of Denominators means GCF of 39,2340 as per the given fractions.

GCF of 39,2340 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,270

LCM of Fractions 636/39,270/2340 is 28620/39

2 636, 270
3 318, 135
106, 45

∴ So the LCM of the given numbers is 2 x 3 x 106 x 45 = 28620

Least Common Multiple of 636,270 with GCF Formula

Least Common Multiple of 636,270 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 636,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,270) = 6

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

GCF(636,270) x common factors =6 x 1 = 6

LCM(636,270) = ( 636 × 270 ) / 6

LCM(636,270) = 171720 / 6

LCM(636,270) = 28620


Lets's calculate GCF of 39,2340

3 39, 2340
13 13, 780
1, 60

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28620/39

Therefore the LCM of Fractions 636/39,270/2340 is 28620/39

Greatest Common Factor of 39,2340 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,2340 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 2340

List of positive integer factors of 2340 that divides 2340 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,30,36,39,45,52,60,65,78,90,117,130,156,180,195,234,260,390,468,585,780,1170,2340

Greatest Common Factor

We found the factors 39,2340 . The biggest common factor number is the GCF number.
So the greatest common factor 39,2340 is 39.


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 636/39, 270/2340

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 636/39, 270/2340?

Answer: LCM of Numerators as per given numbers 636/39, 270/2340 is

LCM of Numerators i.e. for 636,270 is 28620

GCF of denominators i.e. for 39,2340 is 39.

Thus, LCM of Fractions is 28620/39.Finally, LCM of Fractions for 636/39, 270/2340 is 28620/39.