Least Common Multiple of 540/88, 837/94, 261/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/88, 837/94, 261/263 quickly i.e. 485460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/88, 837/94, 261/263 is 485460.

LCM(540/88, 837/94, 261/263) = 485460

LCM of 540/88, 837/94, 261/263

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 540/88,837/94,261/263

Given numbers are 540/88,837/94,261/263

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 540,837,261

Least Common Multiple of Numerators i.e. LCM of 540,837,261 is 485460.

GCF of Denominators means GCF of 88,94,263 as per the given fractions.

GCF of 88,94,263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,837,261

LCM of Fractions 540/88,837/94,261/263 is 485460

3 540, 837, 261
3 180, 279, 87
3 60, 93, 29
20, 31, 29

∴ So the LCM of the given numbers is 3 x 3 x 3 x 20 x 31 x 29 = 485460

Least Common Multiple of 540,837,261 with GCF Formula

Least Common Multiple of 540,837,261 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 540,837,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,837,261) = 9

common factors(in case of two or more numbers have common factors) = 27

GCF(540,837,261) x common factors =9 x 27 = 243

LCM(540,837,261) = ( 540 × 837 × 261 ) / 243

LCM(540,837,261) = 117966780 / 243

LCM(540,837,261) = 485460


Lets's calculate GCF of 88,94,263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 485460/1

Therefore the LCM of Fractions 540/88,837/94,261/263 is 485460

Greatest Common Factor of 88,94,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,94,263 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 94

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

1,2,47,94

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Greatest Common Factor

We found the factors 88,94,263 . The biggest common factor number is the GCF number.
So the greatest common factor 88,94,263 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 540/88, 837/94, 261/263

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 540/88, 837/94, 261/263?

Answer: LCM of Numerators as per given numbers 540/88, 837/94, 261/263 is

LCM of Numerators i.e. for 540,837,261 is 485460

GCF of denominators i.e. for 88,94,263 is 1.

Thus, LCM of Fractions is 485460.Finally, LCM of Fractions for 540/88, 837/94, 261/263 is 485460.