Least Common Multiple of 7526/720, 6595/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7526/720, 6595/609 quickly i.e. 49633970/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7526/720, 6595/609 is 49633970/3.

LCM(7526/720, 6595/609) = 49633970/3

LCM of 7526/720, 6595/609

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 7526/720,6595/609

Given numbers are 7526/720,6595/609

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 7526,6595

Least Common Multiple of Numerators i.e. LCM of 7526,6595 is 49633970.

GCF of Denominators means GCF of 720,609 as per the given fractions.

GCF of 720,609 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7526,6595

LCM of Fractions 7526/720,6595/609 is 49633970/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 49633970

Least Common Multiple of 7526,6595 with GCF Formula

Least Common Multiple of 7526,6595 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 7526,6595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7526,6595) = 1

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

GCF(7526,6595) x common factors =1 x 1 = 1

LCM(7526,6595) = ( 7526 × 6595 ) / 1

LCM(7526,6595) = 49633970 / 1

LCM(7526,6595) = 49633970


Lets's calculate GCF of 720,609

3 720, 609
240, 203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49633970/3

Therefore the LCM of Fractions 7526/720,6595/609 is 49633970/3

Greatest Common Factor of 720,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,609 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 720,609 . The biggest common factor number is the GCF number.
So the greatest common factor 720,609 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7526/720, 6595/609

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 7526/720, 6595/609?

Answer: LCM of Numerators as per given numbers 7526/720, 6595/609 is

LCM of Numerators i.e. for 7526,6595 is 49633970

GCF of denominators i.e. for 720,609 is 3.

Thus, LCM of Fractions is 49633970/3.Finally, LCM of Fractions for 7526/720, 6595/609 is 49633970/3.