Least Common Multiple of 108/72, 744/3110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/72, 744/3110 quickly i.e. 3348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/72, 744/3110 is 3348.

LCM(108/72, 744/3110) = 3348

LCM of 108/72, 744/3110

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 108/72,744/3110

Given numbers are 108/72,744/3110

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 108,744

Least Common Multiple of Numerators i.e. LCM of 108,744 is 6696.

GCF of Denominators means GCF of 72,3110 as per the given fractions.

GCF of 72,3110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,744

LCM of Fractions 108/72,744/3110 is 3348

2 108, 744
2 54, 372
3 27, 186
9, 62

∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 62 = 6696

Least Common Multiple of 108,744 with GCF Formula

Least Common Multiple of 108,744 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 108,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,744) = 12

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

GCF(108,744) x common factors =12 x 1 = 12

LCM(108,744) = ( 108 × 744 ) / 12

LCM(108,744) = 80352 / 12

LCM(108,744) = 6696


Lets's calculate GCF of 72,3110

2 72, 3110
36, 1555

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6696/2

Therefore the LCM of Fractions 108/72,744/3110 is 3348

Greatest Common Factor of 72,3110 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,3110 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 3110

List of positive integer factors of 3110 that divides 3110 without a remainder.

1,2,5,10,311,622,1555,3110

Greatest Common Factor

We found the factors 72,3110 . The biggest common factor number is the GCF number.
So the greatest common factor 72,3110 is 2.


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 108/72, 744/3110

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 108/72, 744/3110?

Answer: LCM of Numerators as per given numbers 108/72, 744/3110 is

LCM of Numerators i.e. for 108,744 is 6696

GCF of denominators i.e. for 72,3110 is 2.

Thus, LCM of Fractions is 3348.Finally, LCM of Fractions for 108/72, 744/3110 is 3348.