Least Common Multiple of 540/927, 2556/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/927, 2556/463 quickly i.e. 38340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/927, 2556/463 is 38340.

LCM(540/927, 2556/463) = 38340

LCM of 540/927, 2556/463

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 540/927,2556/463

Given numbers are 540/927,2556/463

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 540,2556

Least Common Multiple of Numerators i.e. LCM of 540,2556 is 38340.

GCF of Denominators means GCF of 927,463 as per the given fractions.

GCF of 927,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,2556

LCM of Fractions 540/927,2556/463 is 38340

2 540, 2556
2 270, 1278
3 135, 639
3 45, 213
15, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 15 x 71 = 38340

Least Common Multiple of 540,2556 with GCF Formula

Least Common Multiple of 540,2556 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 540,2556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,2556) = 36

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

GCF(540,2556) x common factors =36 x 1 = 36

LCM(540,2556) = ( 540 × 2556 ) / 36

LCM(540,2556) = 1380240 / 36

LCM(540,2556) = 38340


Lets's calculate GCF of 927,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38340/1

Therefore the LCM of Fractions 540/927,2556/463 is 38340

Greatest Common Factor of 927,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,463 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 927,463 . The biggest common factor number is the GCF number.
So the greatest common factor 927,463 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 540/927, 2556/463

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 540/927, 2556/463?

Answer: LCM of Numerators as per given numbers 540/927, 2556/463 is

LCM of Numerators i.e. for 540,2556 is 38340

GCF of denominators i.e. for 927,463 is 1.

Thus, LCM of Fractions is 38340.Finally, LCM of Fractions for 540/927, 2556/463 is 38340.