Least Common Multiple of 183/80, 813/21, 288/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 183/80, 813/21, 288/123 quickly i.e. 4760928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 183/80, 813/21, 288/123 is 4760928.

LCM(183/80, 813/21, 288/123) = 4760928

LCM of 183/80, 813/21, 288/123

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 183/80,813/21,288/123

Given numbers are 183/80,813/21,288/123

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 183,813,288

Least Common Multiple of Numerators i.e. LCM of 183,813,288 is 4760928.

GCF of Denominators means GCF of 80,21,123 as per the given fractions.

GCF of 80,21,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 183,813,288

LCM of Fractions 183/80,813/21,288/123 is 4760928

3 183, 813, 288
61, 271, 96

∴ So the LCM of the given numbers is 3 x 61 x 271 x 96 = 4760928

Least Common Multiple of 183,813,288 with GCF Formula

Least Common Multiple of 183,813,288 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 183,813,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,813,288) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(183,813,288) x common factors =3 x 3 = 9

LCM(183,813,288) = ( 183 × 813 × 288 ) / 9

LCM(183,813,288) = 42848352 / 9

LCM(183,813,288) = 4760928


Lets's calculate GCF of 80,21,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4760928/1

Therefore the LCM of Fractions 183/80,813/21,288/123 is 4760928

Greatest Common Factor of 80,21,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,21,123 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 80,21,123 . The biggest common factor number is the GCF number.
So the greatest common factor 80,21,123 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 183/80, 813/21, 288/123

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 183/80, 813/21, 288/123?

Answer: LCM of Numerators as per given numbers 183/80, 813/21, 288/123 is

LCM of Numerators i.e. for 183,813,288 is 4760928

GCF of denominators i.e. for 80,21,123 is 1.

Thus, LCM of Fractions is 4760928.Finally, LCM of Fractions for 183/80, 813/21, 288/123 is 4760928.