Least Common Multiple of 586/441, 3960/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 586/441, 3960/564 quickly i.e. 386760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 586/441, 3960/564 is 386760.

LCM(586/441, 3960/564) = 386760

LCM of 586/441, 3960/564

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 586/441,3960/564

Given numbers are 586/441,3960/564

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 586,3960

Least Common Multiple of Numerators i.e. LCM of 586,3960 is 1160280.

GCF of Denominators means GCF of 441,564 as per the given fractions.

GCF of 441,564 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 586,3960

LCM of Fractions 586/441,3960/564 is 386760

2 586, 3960
293, 1980

∴ So the LCM of the given numbers is 2 x 293 x 1980 = 1160280

Least Common Multiple of 586,3960 with GCF Formula

Least Common Multiple of 586,3960 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 586,3960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,3960) = 2

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

GCF(586,3960) x common factors =2 x 1 = 2

LCM(586,3960) = ( 586 × 3960 ) / 2

LCM(586,3960) = 2320560 / 2

LCM(586,3960) = 1160280


Lets's calculate GCF of 441,564

3 441, 564
147, 188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1160280/3

Therefore the LCM of Fractions 586/441,3960/564 is 386760

Greatest Common Factor of 441,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,564 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 441,564 . The biggest common factor number is the GCF number.
So the greatest common factor 441,564 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 586/441, 3960/564

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 586/441, 3960/564?

Answer: LCM of Numerators as per given numbers 586/441, 3960/564 is

LCM of Numerators i.e. for 586,3960 is 1160280

GCF of denominators i.e. for 441,564 is 3.

Thus, LCM of Fractions is 386760.Finally, LCM of Fractions for 586/441, 3960/564 is 386760.