Least Common Multiple of 2/13, 6/30, 8/52, 18/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/13, 6/30, 8/52, 18/408 quickly i.e. 72 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/13, 6/30, 8/52, 18/408 is 72.

LCM(2/13, 6/30, 8/52, 18/408) = 72

LCM of 2/13, 6/30, 8/52, 18/408

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 2/13,6/30,8/52,18/408

Given numbers are 2/13,6/30,8/52,18/408

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 2,6,8,18

Least Common Multiple of Numerators i.e. LCM of 2,6,8,18 is 72.

GCF of Denominators means GCF of 13,30,52,408 as per the given fractions.

GCF of 13,30,52,408 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,6,8,18

LCM of Fractions 2/13,6/30,8/52,18/408 is 72

2 2, 6, 8, 18
3 1, 3, 4, 9
1, 1, 4, 3

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 4 x 3 = 72

Least Common Multiple of 2,6,8,18 with GCF Formula

Least Common Multiple of 2,6,8,18 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 2,6,8,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,6,8,18) = 2

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

GCF(2,6,8,18) x common factors =2 x 12 = 24

LCM(2,6,8,18) = ( 2 × 6 × 8 × 18 ) / 24

LCM(2,6,8,18) = 1728 / 24

LCM(2,6,8,18) = 72


Lets's calculate GCF of 13,30,52,408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72/1

Therefore the LCM of Fractions 2/13,6/30,8/52,18/408 is 72

Greatest Common Factor of 13,30,52,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,30,52,408 By Matching Biggest Common Factor Method

Factors of 13

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

1,13

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 52

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

1,2,4,13,26,52

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 13,30,52,408 . The biggest common factor number is the GCF number.
So the greatest common factor 13,30,52,408 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 2/13, 6/30, 8/52, 18/408

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 2/13, 6/30, 8/52, 18/408?

Answer: LCM of Numerators as per given numbers 2/13, 6/30, 8/52, 18/408 is

LCM of Numerators i.e. for 2,6,8,18 is 72

GCF of denominators i.e. for 13,30,52,408 is 1.

Thus, LCM of Fractions is 72.Finally, LCM of Fractions for 2/13, 6/30, 8/52, 18/408 is 72.