Least Common Multiple of 843/621, 539/360, 462/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 843/621, 539/360, 462/366 quickly i.e. 302918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/621, 539/360, 462/366 is 302918.

LCM(843/621, 539/360, 462/366) = 302918

LCM of 843/621, 539/360, 462/366

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 843/621,539/360,462/366

Given numbers are 843/621,539/360,462/366

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 843,539,462

Least Common Multiple of Numerators i.e. LCM of 843,539,462 is 908754.

GCF of Denominators means GCF of 621,360,366 as per the given fractions.

GCF of 621,360,366 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,539,462

LCM of Fractions 843/621,539/360,462/366 is 302918

3 843, 539, 462
7 281, 539, 154
11 281, 77, 22
281, 7, 2

∴ So the LCM of the given numbers is 3 x 7 x 11 x 281 x 7 x 2 = 908754

Least Common Multiple of 843,539,462 with GCF Formula

Least Common Multiple of 843,539,462 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 843,539,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,539,462) = 1

common factors(in case of two or more numbers have common factors) = 231

GCF(843,539,462) x common factors =1 x 231 = 231

LCM(843,539,462) = ( 843 × 539 × 462 ) / 231

LCM(843,539,462) = 209922174 / 231

LCM(843,539,462) = 908754


Lets's calculate GCF of 621,360,366

3 621, 360, 366
207, 120, 122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 908754/3

Therefore the LCM of Fractions 843/621,539/360,462/366 is 302918

Greatest Common Factor of 621,360,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,360,366 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 621,360,366 . The biggest common factor number is the GCF number.
So the greatest common factor 621,360,366 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 843/621, 539/360, 462/366

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 843/621, 539/360, 462/366?

Answer: LCM of Numerators as per given numbers 843/621, 539/360, 462/366 is

LCM of Numerators i.e. for 843,539,462 is 908754

GCF of denominators i.e. for 621,360,366 is 3.

Thus, LCM of Fractions is 302918.Finally, LCM of Fractions for 843/621, 539/360, 462/366 is 302918.