Least Common Multiple of 72/104, 9183/2151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/104, 9183/2151 quickly i.e. 220392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/104, 9183/2151 is 220392.

LCM(72/104, 9183/2151) = 220392

LCM of 72/104, 9183/2151

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 72/104,9183/2151

Given numbers are 72/104,9183/2151

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 72,9183

Least Common Multiple of Numerators i.e. LCM of 72,9183 is 220392.

GCF of Denominators means GCF of 104,2151 as per the given fractions.

GCF of 104,2151 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,9183

LCM of Fractions 72/104,9183/2151 is 220392

3 72, 9183
24, 3061

∴ So the LCM of the given numbers is 3 x 24 x 3061 = 220392

Least Common Multiple of 72,9183 with GCF Formula

Least Common Multiple of 72,9183 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 72,9183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,9183) = 3

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

GCF(72,9183) x common factors =3 x 1 = 3

LCM(72,9183) = ( 72 × 9183 ) / 3

LCM(72,9183) = 661176 / 3

LCM(72,9183) = 220392


Lets's calculate GCF of 104,2151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220392/1

Therefore the LCM of Fractions 72/104,9183/2151 is 220392

Greatest Common Factor of 104,2151 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,2151 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 2151

List of positive integer factors of 2151 that divides 2151 without a remainder.

1,3,9,239,717,2151

Greatest Common Factor

We found the factors 104,2151 . The biggest common factor number is the GCF number.
So the greatest common factor 104,2151 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 72/104, 9183/2151

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 72/104, 9183/2151?

Answer: LCM of Numerators as per given numbers 72/104, 9183/2151 is

LCM of Numerators i.e. for 72,9183 is 220392

GCF of denominators i.e. for 104,2151 is 1.

Thus, LCM of Fractions is 220392.Finally, LCM of Fractions for 72/104, 9183/2151 is 220392.