Least Common Multiple of 72/519, 40/706, 609/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/519, 40/706, 609/659 quickly i.e. 73080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/519, 40/706, 609/659 is 73080.

LCM(72/519, 40/706, 609/659) = 73080

LCM of 72/519, 40/706, 609/659

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 72/519,40/706,609/659

Given numbers are 72/519,40/706,609/659

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 72,40,609

Least Common Multiple of Numerators i.e. LCM of 72,40,609 is 73080.

GCF of Denominators means GCF of 519,706,659 as per the given fractions.

GCF of 519,706,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,40,609

LCM of Fractions 72/519,40/706,609/659 is 73080

2 72, 40, 609
2 36, 20, 609
2 18, 10, 609
3 9, 5, 609
3, 5, 203

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 203 = 73080

Least Common Multiple of 72,40,609 with GCF Formula

Least Common Multiple of 72,40,609 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 72,40,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,40,609) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(72,40,609) x common factors =1 x 24 = 24

LCM(72,40,609) = ( 72 × 40 × 609 ) / 24

LCM(72,40,609) = 1753920 / 24

LCM(72,40,609) = 73080


Lets's calculate GCF of 519,706,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73080/1

Therefore the LCM of Fractions 72/519,40/706,609/659 is 73080

Greatest Common Factor of 519,706,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,706,659 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 519,706,659 . The biggest common factor number is the GCF number.
So the greatest common factor 519,706,659 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 72/519, 40/706, 609/659

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 72/519, 40/706, 609/659?

Answer: LCM of Numerators as per given numbers 72/519, 40/706, 609/659 is

LCM of Numerators i.e. for 72,40,609 is 73080

GCF of denominators i.e. for 519,706,659 is 1.

Thus, LCM of Fractions is 73080.Finally, LCM of Fractions for 72/519, 40/706, 609/659 is 73080.