Least Common Multiple of 135/20, 780/52, 206/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/20, 780/52, 206/13 quickly i.e. 723060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/20, 780/52, 206/13 is 723060.

LCM(135/20, 780/52, 206/13) = 723060

LCM of 135/20, 780/52, 206/13

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 135/20,780/52,206/13

Given numbers are 135/20,780/52,206/13

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 135,780,206

Least Common Multiple of Numerators i.e. LCM of 135,780,206 is 723060.

GCF of Denominators means GCF of 20,52,13 as per the given fractions.

GCF of 20,52,13 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,780,206

LCM of Fractions 135/20,780/52,206/13 is 723060

2 135, 780, 206
3 135, 390, 103
5 45, 130, 103
9, 26, 103

∴ So the LCM of the given numbers is 2 x 3 x 5 x 9 x 26 x 103 = 723060

Least Common Multiple of 135,780,206 with GCF Formula

Least Common Multiple of 135,780,206 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 135,780,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,780,206) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(135,780,206) x common factors =1 x 30 = 30

LCM(135,780,206) = ( 135 × 780 × 206 ) / 30

LCM(135,780,206) = 21691800 / 30

LCM(135,780,206) = 723060


Lets's calculate GCF of 20,52,13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723060/1

Therefore the LCM of Fractions 135/20,780/52,206/13 is 723060

Greatest Common Factor of 20,52,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,52,13 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Greatest Common Factor

We found the factors 20,52,13 . The biggest common factor number is the GCF number.
So the greatest common factor 20,52,13 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 135/20, 780/52, 206/13

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 135/20, 780/52, 206/13?

Answer: LCM of Numerators as per given numbers 135/20, 780/52, 206/13 is

LCM of Numerators i.e. for 135,780,206 is 723060

GCF of denominators i.e. for 20,52,13 is 1.

Thus, LCM of Fractions is 723060.Finally, LCM of Fractions for 135/20, 780/52, 206/13 is 723060.