Least Common Multiple of 8504/301, 6709/1539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8504/301, 6709/1539 quickly i.e. 57053336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8504/301, 6709/1539 is 57053336.

LCM(8504/301, 6709/1539) = 57053336

LCM of 8504/301, 6709/1539

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 8504/301,6709/1539

Given numbers are 8504/301,6709/1539

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 8504,6709

Least Common Multiple of Numerators i.e. LCM of 8504,6709 is 57053336.

GCF of Denominators means GCF of 301,1539 as per the given fractions.

GCF of 301,1539 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8504,6709

LCM of Fractions 8504/301,6709/1539 is 57053336

Given numbers has no common factors except 1. So, there LCM is their product i.e 57053336

Least Common Multiple of 8504,6709 with GCF Formula

Least Common Multiple of 8504,6709 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 8504,6709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8504,6709) = 1

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

GCF(8504,6709) x common factors =1 x 1 = 1

LCM(8504,6709) = ( 8504 × 6709 ) / 1

LCM(8504,6709) = 57053336 / 1

LCM(8504,6709) = 57053336


Lets's calculate GCF of 301,1539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57053336/1

Therefore the LCM of Fractions 8504/301,6709/1539 is 57053336

Greatest Common Factor of 301,1539 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,1539 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 1539

List of positive integer factors of 1539 that divides 1539 without a remainder.

1,3,9,19,27,57,81,171,513,1539

Greatest Common Factor

We found the factors 301,1539 . The biggest common factor number is the GCF number.
So the greatest common factor 301,1539 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 8504/301, 6709/1539

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 8504/301, 6709/1539?

Answer: LCM of Numerators as per given numbers 8504/301, 6709/1539 is

LCM of Numerators i.e. for 8504,6709 is 57053336

GCF of denominators i.e. for 301,1539 is 1.

Thus, LCM of Fractions is 57053336.Finally, LCM of Fractions for 8504/301, 6709/1539 is 57053336.