Least Common Multiple of 6118/504, 3321/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6118/504, 3321/577 quickly i.e. 20317878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6118/504, 3321/577 is 20317878.

LCM(6118/504, 3321/577) = 20317878

LCM of 6118/504, 3321/577

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 6118/504,3321/577

Given numbers are 6118/504,3321/577

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 6118,3321

Least Common Multiple of Numerators i.e. LCM of 6118,3321 is 20317878.

GCF of Denominators means GCF of 504,577 as per the given fractions.

GCF of 504,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6118,3321

LCM of Fractions 6118/504,3321/577 is 20317878

Given numbers has no common factors except 1. So, there LCM is their product i.e 20317878

Least Common Multiple of 6118,3321 with GCF Formula

Least Common Multiple of 6118,3321 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 6118,3321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6118,3321) = 1

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

GCF(6118,3321) x common factors =1 x 1 = 1

LCM(6118,3321) = ( 6118 × 3321 ) / 1

LCM(6118,3321) = 20317878 / 1

LCM(6118,3321) = 20317878


Lets's calculate GCF of 504,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20317878/1

Therefore the LCM of Fractions 6118/504,3321/577 is 20317878

Greatest Common Factor of 504,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,577 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 504,577 . The biggest common factor number is the GCF number.
So the greatest common factor 504,577 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6118/504, 3321/577

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 6118/504, 3321/577?

Answer: LCM of Numerators as per given numbers 6118/504, 3321/577 is

LCM of Numerators i.e. for 6118,3321 is 20317878

GCF of denominators i.e. for 504,577 is 1.

Thus, LCM of Fractions is 20317878.Finally, LCM of Fractions for 6118/504, 3321/577 is 20317878.