Least Common Multiple of 4644/543, 4161/5196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4644/543, 4161/5196 quickly i.e. 2147076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4644/543, 4161/5196 is 2147076.

LCM(4644/543, 4161/5196) = 2147076

LCM of 4644/543, 4161/5196

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 4644/543,4161/5196

Given numbers are 4644/543,4161/5196

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 4644,4161

Least Common Multiple of Numerators i.e. LCM of 4644,4161 is 6441228.

GCF of Denominators means GCF of 543,5196 as per the given fractions.

GCF of 543,5196 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4644,4161

LCM of Fractions 4644/543,4161/5196 is 2147076

3 4644, 4161
1548, 1387

∴ So the LCM of the given numbers is 3 x 1548 x 1387 = 6441228

Least Common Multiple of 4644,4161 with GCF Formula

Least Common Multiple of 4644,4161 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 4644,4161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4644,4161) = 3

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

GCF(4644,4161) x common factors =3 x 1 = 3

LCM(4644,4161) = ( 4644 × 4161 ) / 3

LCM(4644,4161) = 19323684 / 3

LCM(4644,4161) = 6441228


Lets's calculate GCF of 543,5196

3 543, 5196
181, 1732

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6441228/3

Therefore the LCM of Fractions 4644/543,4161/5196 is 2147076

Greatest Common Factor of 543,5196 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,5196 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 5196

List of positive integer factors of 5196 that divides 5196 without a remainder.

1,2,3,4,6,12,433,866,1299,1732,2598,5196

Greatest Common Factor

We found the factors 543,5196 . The biggest common factor number is the GCF number.
So the greatest common factor 543,5196 is 3.


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 4644/543, 4161/5196

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 4644/543, 4161/5196?

Answer: LCM of Numerators as per given numbers 4644/543, 4161/5196 is

LCM of Numerators i.e. for 4644,4161 is 6441228

GCF of denominators i.e. for 543,5196 is 3.

Thus, LCM of Fractions is 2147076.Finally, LCM of Fractions for 4644/543, 4161/5196 is 2147076.