Least Common Multiple of 687/65, 584/30, 612/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/65, 584/30, 612/13 quickly i.e. 20461608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/65, 584/30, 612/13 is 20461608.

LCM(687/65, 584/30, 612/13) = 20461608

LCM of 687/65, 584/30, 612/13

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 687/65,584/30,612/13

Given numbers are 687/65,584/30,612/13

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 687,584,612

Least Common Multiple of Numerators i.e. LCM of 687,584,612 is 20461608.

GCF of Denominators means GCF of 65,30,13 as per the given fractions.

GCF of 65,30,13 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,584,612

LCM of Fractions 687/65,584/30,612/13 is 20461608

2 687, 584, 612
2 687, 292, 306
3 687, 146, 153
229, 146, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 229 x 146 x 51 = 20461608

Least Common Multiple of 687,584,612 with GCF Formula

Least Common Multiple of 687,584,612 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 687,584,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,584,612) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(687,584,612) x common factors =1 x 12 = 12

LCM(687,584,612) = ( 687 × 584 × 612 ) / 12

LCM(687,584,612) = 245539296 / 12

LCM(687,584,612) = 20461608


Lets's calculate GCF of 65,30,13

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20461608/1

Therefore the LCM of Fractions 687/65,584/30,612/13 is 20461608

Greatest Common Factor of 65,30,13 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,30,13 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Greatest Common Factor

We found the factors 65,30,13 . The biggest common factor number is the GCF number.
So the greatest common factor 65,30,13 is 1.


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 687/65, 584/30, 612/13

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 687/65, 584/30, 612/13?

Answer: LCM of Numerators as per given numbers 687/65, 584/30, 612/13 is

LCM of Numerators i.e. for 687,584,612 is 20461608

GCF of denominators i.e. for 65,30,13 is 1.

Thus, LCM of Fractions is 20461608.Finally, LCM of Fractions for 687/65, 584/30, 612/13 is 20461608.