Least Common Multiple of 645/86, 564/3590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/86, 564/3590 quickly i.e. 60630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/86, 564/3590 is 60630.

LCM(645/86, 564/3590) = 60630

LCM of 645/86, 564/3590

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 645/86,564/3590

Given numbers are 645/86,564/3590

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 645,564

Least Common Multiple of Numerators i.e. LCM of 645,564 is 121260.

GCF of Denominators means GCF of 86,3590 as per the given fractions.

GCF of 86,3590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,564

LCM of Fractions 645/86,564/3590 is 60630

3 645, 564
215, 188

∴ So the LCM of the given numbers is 3 x 215 x 188 = 121260

Least Common Multiple of 645,564 with GCF Formula

Least Common Multiple of 645,564 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 645,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,564) = 3

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

GCF(645,564) x common factors =3 x 1 = 3

LCM(645,564) = ( 645 × 564 ) / 3

LCM(645,564) = 363780 / 3

LCM(645,564) = 121260


Lets's calculate GCF of 86,3590

2 86, 3590
43, 1795

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121260/2

Therefore the LCM of Fractions 645/86,564/3590 is 60630

Greatest Common Factor of 86,3590 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,3590 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 3590

List of positive integer factors of 3590 that divides 3590 without a remainder.

1,2,5,10,359,718,1795,3590

Greatest Common Factor

We found the factors 86,3590 . The biggest common factor number is the GCF number.
So the greatest common factor 86,3590 is 2.


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 645/86, 564/3590

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 645/86, 564/3590?

Answer: LCM of Numerators as per given numbers 645/86, 564/3590 is

LCM of Numerators i.e. for 645,564 is 121260

GCF of denominators i.e. for 86,3590 is 2.

Thus, LCM of Fractions is 60630.Finally, LCM of Fractions for 645/86, 564/3590 is 60630.