Least Common Multiple of 2/15, 6/38, 12/41, 72/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/15, 6/38, 12/41, 72/747 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 2/15, 6/38, 12/41, 72/747 is 72.

LCM(2/15, 6/38, 12/41, 72/747) = 72

LCM of 2/15, 6/38, 12/41, 72/747

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 2/15,6/38,12/41,72/747

Given numbers are 2/15,6/38,12/41,72/747

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 2,6,12,72

Least Common Multiple of Numerators i.e. LCM of 2,6,12,72 is 72.

GCF of Denominators means GCF of 15,38,41,747 as per the given fractions.

GCF of 15,38,41,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,6,12,72

LCM of Fractions 2/15,6/38,12/41,72/747 is 72

2 2, 6, 12, 72
2 1, 3, 6, 36
3 1, 3, 3, 18
1, 1, 1, 6

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 1 x 1 x 6 = 72

Least Common Multiple of 2,6,12,72 with GCF Formula

Least Common Multiple of 2,6,12,72 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 2,6,12,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,6,12,72) = 2

common factors(in case of two or more numbers have common factors) = 72

GCF(2,6,12,72) x common factors =2 x 72 = 144

LCM(2,6,12,72) = ( 2 × 6 × 12 × 72 ) / 144

LCM(2,6,12,72) = 10368 / 144

LCM(2,6,12,72) = 72


Lets's calculate GCF of 15,38,41,747

∴ 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 2/15,6/38,12/41,72/747 is 72

Greatest Common Factor of 15,38,41,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,38,41,747 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 15,38,41,747 . The biggest common factor number is the GCF number.
So the greatest common factor 15,38,41,747 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 2/15, 6/38, 12/41, 72/747

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 2/15, 6/38, 12/41, 72/747?

Answer: LCM of Numerators as per given numbers 2/15, 6/38, 12/41, 72/747 is

LCM of Numerators i.e. for 2,6,12,72 is 72

GCF of denominators i.e. for 15,38,41,747 is 1.

Thus, LCM of Fractions is 72.Finally, LCM of Fractions for 2/15, 6/38, 12/41, 72/747 is 72.