Least Common Multiple of 591/35, 504/9709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 591/35, 504/9709 quickly i.e. 14184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 591/35, 504/9709 is 14184.

LCM(591/35, 504/9709) = 14184

LCM of 591/35, 504/9709

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 591/35,504/9709

Given numbers are 591/35,504/9709

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 591,504

Least Common Multiple of Numerators i.e. LCM of 591,504 is 99288.

GCF of Denominators means GCF of 35,9709 as per the given fractions.

GCF of 35,9709 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 591,504

LCM of Fractions 591/35,504/9709 is 14184

3 591, 504
197, 168

∴ So the LCM of the given numbers is 3 x 197 x 168 = 99288

Least Common Multiple of 591,504 with GCF Formula

Least Common Multiple of 591,504 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 591,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,504) = 3

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

GCF(591,504) x common factors =3 x 1 = 3

LCM(591,504) = ( 591 × 504 ) / 3

LCM(591,504) = 297864 / 3

LCM(591,504) = 99288


Lets's calculate GCF of 35,9709

7 35, 9709
5, 1387

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99288/7

Therefore the LCM of Fractions 591/35,504/9709 is 14184

Greatest Common Factor of 35,9709 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,9709 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 9709

List of positive integer factors of 9709 that divides 9709 without a remainder.

1,7,19,73,133,511,1387,9709

Greatest Common Factor

We found the factors 35,9709 . The biggest common factor number is the GCF number.
So the greatest common factor 35,9709 is 7.


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 591/35, 504/9709

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 591/35, 504/9709?

Answer: LCM of Numerators as per given numbers 591/35, 504/9709 is

LCM of Numerators i.e. for 591,504 is 99288

GCF of denominators i.e. for 35,9709 is 7.

Thus, LCM of Fractions is 14184.Finally, LCM of Fractions for 591/35, 504/9709 is 14184.