Least Common Multiple of 54/618, 3564/6030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/618, 3564/6030 quickly i.e. 594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/618, 3564/6030 is 594.

LCM(54/618, 3564/6030) = 594

LCM of 54/618, 3564/6030

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 54/618,3564/6030

Given numbers are 54/618,3564/6030

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 54,3564

Least Common Multiple of Numerators i.e. LCM of 54,3564 is 3564.

GCF of Denominators means GCF of 618,6030 as per the given fractions.

GCF of 618,6030 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,3564

LCM of Fractions 54/618,3564/6030 is 594

2 54, 3564
3 27, 1782
3 9, 594
3 3, 198
1, 66

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 66 = 3564

Least Common Multiple of 54,3564 with GCF Formula

Least Common Multiple of 54,3564 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 54,3564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,3564) = 54

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

GCF(54,3564) x common factors =54 x 1 = 54

LCM(54,3564) = ( 54 × 3564 ) / 54

LCM(54,3564) = 192456 / 54

LCM(54,3564) = 3564


Lets's calculate GCF of 618,6030

2 618, 6030
3 309, 3015
103, 1005

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3564/6

Therefore the LCM of Fractions 54/618,3564/6030 is 594

Greatest Common Factor of 618,6030 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,6030 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 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030

Greatest Common Factor

We found the factors 618,6030 . The biggest common factor number is the GCF number.
So the greatest common factor 618,6030 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 54/618, 3564/6030

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 54/618, 3564/6030?

Answer: LCM of Numerators as per given numbers 54/618, 3564/6030 is

LCM of Numerators i.e. for 54,3564 is 3564

GCF of denominators i.e. for 618,6030 is 6.

Thus, LCM of Fractions is 594.Finally, LCM of Fractions for 54/618, 3564/6030 is 594.