Least Common Multiple of 8714/665, 9539/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8714/665, 9539/924 quickly i.e. 83122846/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8714/665, 9539/924 is 83122846/7.

LCM(8714/665, 9539/924) = 83122846/7

LCM of 8714/665, 9539/924

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 8714/665,9539/924

Given numbers are 8714/665,9539/924

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 8714,9539

Least Common Multiple of Numerators i.e. LCM of 8714,9539 is 83122846.

GCF of Denominators means GCF of 665,924 as per the given fractions.

GCF of 665,924 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8714,9539

LCM of Fractions 8714/665,9539/924 is 83122846/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 83122846

Least Common Multiple of 8714,9539 with GCF Formula

Least Common Multiple of 8714,9539 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 8714,9539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8714,9539) = 1

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

GCF(8714,9539) x common factors =1 x 1 = 1

LCM(8714,9539) = ( 8714 × 9539 ) / 1

LCM(8714,9539) = 83122846 / 1

LCM(8714,9539) = 83122846


Lets's calculate GCF of 665,924

7 665, 924
95, 132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83122846/7

Therefore the LCM of Fractions 8714/665,9539/924 is 83122846/7

Greatest Common Factor of 665,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,924 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 665,924 . The biggest common factor number is the GCF number.
So the greatest common factor 665,924 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 8714/665, 9539/924

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 8714/665, 9539/924?

Answer: LCM of Numerators as per given numbers 8714/665, 9539/924 is

LCM of Numerators i.e. for 8714,9539 is 83122846

GCF of denominators i.e. for 665,924 is 7.

Thus, LCM of Fractions is 83122846/7.Finally, LCM of Fractions for 8714/665, 9539/924 is 83122846/7.