Least Common Multiple of 54/281, 96/659, 305/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/281, 96/659, 305/131 quickly i.e. 263520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/281, 96/659, 305/131 is 263520.

LCM(54/281, 96/659, 305/131) = 263520

LCM of 54/281, 96/659, 305/131

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 54/281,96/659,305/131

Given numbers are 54/281,96/659,305/131

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 54,96,305

Least Common Multiple of Numerators i.e. LCM of 54,96,305 is 263520.

GCF of Denominators means GCF of 281,659,131 as per the given fractions.

GCF of 281,659,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,96,305

LCM of Fractions 54/281,96/659,305/131 is 263520

2 54, 96, 305
3 27, 48, 305
9, 16, 305

∴ So the LCM of the given numbers is 2 x 3 x 9 x 16 x 305 = 263520

Least Common Multiple of 54,96,305 with GCF Formula

Least Common Multiple of 54,96,305 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 54,96,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,96,305) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(54,96,305) x common factors =1 x 6 = 6

LCM(54,96,305) = ( 54 × 96 × 305 ) / 6

LCM(54,96,305) = 1581120 / 6

LCM(54,96,305) = 263520


Lets's calculate GCF of 281,659,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263520/1

Therefore the LCM of Fractions 54/281,96/659,305/131 is 263520

Greatest Common Factor of 281,659,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,659,131 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 281,659,131 . The biggest common factor number is the GCF number.
So the greatest common factor 281,659,131 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 54/281, 96/659, 305/131

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 54/281, 96/659, 305/131?

Answer: LCM of Numerators as per given numbers 54/281, 96/659, 305/131 is

LCM of Numerators i.e. for 54,96,305 is 263520

GCF of denominators i.e. for 281,659,131 is 1.

Thus, LCM of Fractions is 263520.Finally, LCM of Fractions for 54/281, 96/659, 305/131 is 263520.