Least Common Multiple of 71/264, 9239/8535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/264, 9239/8535 quickly i.e. 655969/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/264, 9239/8535 is 655969/3.

LCM(71/264, 9239/8535) = 655969/3

LCM of 71/264, 9239/8535

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 71/264,9239/8535

Given numbers are 71/264,9239/8535

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 71,9239

Least Common Multiple of Numerators i.e. LCM of 71,9239 is 655969.

GCF of Denominators means GCF of 264,8535 as per the given fractions.

GCF of 264,8535 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,9239

LCM of Fractions 71/264,9239/8535 is 655969/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 655969

Least Common Multiple of 71,9239 with GCF Formula

Least Common Multiple of 71,9239 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 71,9239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,9239) = 1

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

GCF(71,9239) x common factors =1 x 1 = 1

LCM(71,9239) = ( 71 × 9239 ) / 1

LCM(71,9239) = 655969 / 1

LCM(71,9239) = 655969


Lets's calculate GCF of 264,8535

3 264, 8535
88, 2845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 655969/3

Therefore the LCM of Fractions 71/264,9239/8535 is 655969/3

Greatest Common Factor of 264,8535 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,8535 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 8535

List of positive integer factors of 8535 that divides 8535 without a remainder.

1,3,5,15,569,1707,2845,8535

Greatest Common Factor

We found the factors 264,8535 . The biggest common factor number is the GCF number.
So the greatest common factor 264,8535 is 3.


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 71/264, 9239/8535

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 71/264, 9239/8535?

Answer: LCM of Numerators as per given numbers 71/264, 9239/8535 is

LCM of Numerators i.e. for 71,9239 is 655969

GCF of denominators i.e. for 264,8535 is 3.

Thus, LCM of Fractions is 655969/3.Finally, LCM of Fractions for 71/264, 9239/8535 is 655969/3.