Least Common Multiple of 420/594, 3060/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/594, 3060/591 quickly i.e. 7140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/594, 3060/591 is 7140.

LCM(420/594, 3060/591) = 7140

LCM of 420/594, 3060/591

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 420/594,3060/591

Given numbers are 420/594,3060/591

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 420,3060

Least Common Multiple of Numerators i.e. LCM of 420,3060 is 21420.

GCF of Denominators means GCF of 594,591 as per the given fractions.

GCF of 594,591 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,3060

LCM of Fractions 420/594,3060/591 is 7140

2 420, 3060
2 210, 1530
3 105, 765
5 35, 255
7, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 51 = 21420

Least Common Multiple of 420,3060 with GCF Formula

Least Common Multiple of 420,3060 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 420,3060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,3060) = 60

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

GCF(420,3060) x common factors =60 x 1 = 60

LCM(420,3060) = ( 420 × 3060 ) / 60

LCM(420,3060) = 1285200 / 60

LCM(420,3060) = 21420


Lets's calculate GCF of 594,591

3 594, 591
198, 197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21420/3

Therefore the LCM of Fractions 420/594,3060/591 is 7140

Greatest Common Factor of 594,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,591 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 594,591 . The biggest common factor number is the GCF number.
So the greatest common factor 594,591 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 420/594, 3060/591

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 420/594, 3060/591?

Answer: LCM of Numerators as per given numbers 420/594, 3060/591 is

LCM of Numerators i.e. for 420,3060 is 21420

GCF of denominators i.e. for 594,591 is 3.

Thus, LCM of Fractions is 7140.Finally, LCM of Fractions for 420/594, 3060/591 is 7140.