Least Common Multiple of 577/618, 6141/4044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/618, 6141/4044 quickly i.e. 3543357/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/618, 6141/4044 is 3543357/6.

LCM(577/618, 6141/4044) = 3543357/6

LCM of 577/618, 6141/4044

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 577/618,6141/4044

Given numbers are 577/618,6141/4044

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 577,6141

Least Common Multiple of Numerators i.e. LCM of 577,6141 is 3543357.

GCF of Denominators means GCF of 618,4044 as per the given fractions.

GCF of 618,4044 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,6141

LCM of Fractions 577/618,6141/4044 is 3543357/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 3543357

Least Common Multiple of 577,6141 with GCF Formula

Least Common Multiple of 577,6141 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 577,6141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,6141) = 1

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

GCF(577,6141) x common factors =1 x 1 = 1

LCM(577,6141) = ( 577 × 6141 ) / 1

LCM(577,6141) = 3543357 / 1

LCM(577,6141) = 3543357


Lets's calculate GCF of 618,4044

2 618, 4044
3 309, 2022
103, 674

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3543357/6

Therefore the LCM of Fractions 577/618,6141/4044 is 3543357/6

Greatest Common Factor of 618,4044 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,4044 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 4044

List of positive integer factors of 4044 that divides 4044 without a remainder.

1,2,3,4,6,12,337,674,1011,1348,2022,4044

Greatest Common Factor

We found the factors 618,4044 . The biggest common factor number is the GCF number.
So the greatest common factor 618,4044 is 6.


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 577/618, 6141/4044

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 577/618, 6141/4044?

Answer: LCM of Numerators as per given numbers 577/618, 6141/4044 is

LCM of Numerators i.e. for 577,6141 is 3543357

GCF of denominators i.e. for 618,4044 is 6.

Thus, LCM of Fractions is 3543357/6.Finally, LCM of Fractions for 577/618, 6141/4044 is 3543357/6.