Least Common Multiple of 4854/540, 4796/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4854/540, 4796/418 quickly i.e. 5819946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4854/540, 4796/418 is 5819946.

LCM(4854/540, 4796/418) = 5819946

LCM of 4854/540, 4796/418

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 4854/540,4796/418

Given numbers are 4854/540,4796/418

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 4854,4796

Least Common Multiple of Numerators i.e. LCM of 4854,4796 is 11639892.

GCF of Denominators means GCF of 540,418 as per the given fractions.

GCF of 540,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4854,4796

LCM of Fractions 4854/540,4796/418 is 5819946

2 4854, 4796
2427, 2398

∴ So the LCM of the given numbers is 2 x 2427 x 2398 = 11639892

Least Common Multiple of 4854,4796 with GCF Formula

Least Common Multiple of 4854,4796 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 4854,4796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4854,4796) = 2

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

GCF(4854,4796) x common factors =2 x 1 = 2

LCM(4854,4796) = ( 4854 × 4796 ) / 2

LCM(4854,4796) = 23279784 / 2

LCM(4854,4796) = 11639892


Lets's calculate GCF of 540,418

2 540, 418
270, 209

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11639892/2

Therefore the LCM of Fractions 4854/540,4796/418 is 5819946

Greatest Common Factor of 540,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,418 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 540,418 . The biggest common factor number is the GCF number.
So the greatest common factor 540,418 is 2.


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 4854/540, 4796/418

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 4854/540, 4796/418?

Answer: LCM of Numerators as per given numbers 4854/540, 4796/418 is

LCM of Numerators i.e. for 4854,4796 is 11639892

GCF of denominators i.e. for 540,418 is 2.

Thus, LCM of Fractions is 5819946.Finally, LCM of Fractions for 4854/540, 4796/418 is 5819946.