Least Common Multiple of 279/94, 180/25, 405/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/94, 180/25, 405/293 quickly i.e. 50220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/94, 180/25, 405/293 is 50220.

LCM(279/94, 180/25, 405/293) = 50220

LCM of 279/94, 180/25, 405/293

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 279/94,180/25,405/293

Given numbers are 279/94,180/25,405/293

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 279,180,405

Least Common Multiple of Numerators i.e. LCM of 279,180,405 is 50220.

GCF of Denominators means GCF of 94,25,293 as per the given fractions.

GCF of 94,25,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,180,405

LCM of Fractions 279/94,180/25,405/293 is 50220

3 279, 180, 405
3 93, 60, 135
5 31, 20, 45
31, 4, 9

∴ So the LCM of the given numbers is 3 x 3 x 5 x 31 x 4 x 9 = 50220

Least Common Multiple of 279,180,405 with GCF Formula

Least Common Multiple of 279,180,405 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 279,180,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,180,405) = 9

common factors(in case of two or more numbers have common factors) = 45

GCF(279,180,405) x common factors =9 x 45 = 405

LCM(279,180,405) = ( 279 × 180 × 405 ) / 405

LCM(279,180,405) = 20339100 / 405

LCM(279,180,405) = 50220


Lets's calculate GCF of 94,25,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50220/1

Therefore the LCM of Fractions 279/94,180/25,405/293 is 50220

Greatest Common Factor of 94,25,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,25,293 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 94,25,293 . The biggest common factor number is the GCF number.
So the greatest common factor 94,25,293 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 279/94, 180/25, 405/293

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 279/94, 180/25, 405/293?

Answer: LCM of Numerators as per given numbers 279/94, 180/25, 405/293 is

LCM of Numerators i.e. for 279,180,405 is 50220

GCF of denominators i.e. for 94,25,293 is 1.

Thus, LCM of Fractions is 50220.Finally, LCM of Fractions for 279/94, 180/25, 405/293 is 50220.