Least Common Multiple of 72/121, 3111/3813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/121, 3111/3813 quickly i.e. 74664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/121, 3111/3813 is 74664.

LCM(72/121, 3111/3813) = 74664

LCM of 72/121, 3111/3813

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 72/121,3111/3813

Given numbers are 72/121,3111/3813

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 72,3111

Least Common Multiple of Numerators i.e. LCM of 72,3111 is 74664.

GCF of Denominators means GCF of 121,3813 as per the given fractions.

GCF of 121,3813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,3111

LCM of Fractions 72/121,3111/3813 is 74664

3 72, 3111
24, 1037

∴ So the LCM of the given numbers is 3 x 24 x 1037 = 74664

Least Common Multiple of 72,3111 with GCF Formula

Least Common Multiple of 72,3111 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 72,3111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,3111) = 3

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

GCF(72,3111) x common factors =3 x 1 = 3

LCM(72,3111) = ( 72 × 3111 ) / 3

LCM(72,3111) = 223992 / 3

LCM(72,3111) = 74664


Lets's calculate GCF of 121,3813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74664/1

Therefore the LCM of Fractions 72/121,3111/3813 is 74664

Greatest Common Factor of 121,3813 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,3813 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 3813

List of positive integer factors of 3813 that divides 3813 without a remainder.

1,3,31,41,93,123,1271,3813

Greatest Common Factor

We found the factors 121,3813 . The biggest common factor number is the GCF number.
So the greatest common factor 121,3813 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/121, 3111/3813

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 72/121, 3111/3813?

Answer: LCM of Numerators as per given numbers 72/121, 3111/3813 is

LCM of Numerators i.e. for 72,3111 is 74664

GCF of denominators i.e. for 121,3813 is 1.

Thus, LCM of Fractions is 74664.Finally, LCM of Fractions for 72/121, 3111/3813 is 74664.