Least Common Multiple of 8243/924, 9640/3005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8243/924, 9640/3005 quickly i.e. 79462520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8243/924, 9640/3005 is 79462520.

LCM(8243/924, 9640/3005) = 79462520

LCM of 8243/924, 9640/3005

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 8243/924,9640/3005

Given numbers are 8243/924,9640/3005

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 8243,9640

Least Common Multiple of Numerators i.e. LCM of 8243,9640 is 79462520.

GCF of Denominators means GCF of 924,3005 as per the given fractions.

GCF of 924,3005 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8243,9640

LCM of Fractions 8243/924,9640/3005 is 79462520

Given numbers has no common factors except 1. So, there LCM is their product i.e 79462520

Least Common Multiple of 8243,9640 with GCF Formula

Least Common Multiple of 8243,9640 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 8243,9640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8243,9640) = 1

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

GCF(8243,9640) x common factors =1 x 1 = 1

LCM(8243,9640) = ( 8243 × 9640 ) / 1

LCM(8243,9640) = 79462520 / 1

LCM(8243,9640) = 79462520


Lets's calculate GCF of 924,3005

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79462520/1

Therefore the LCM of Fractions 8243/924,9640/3005 is 79462520

Greatest Common Factor of 924,3005 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,3005 By Matching Biggest Common Factor Method

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

Factors of 3005

List of positive integer factors of 3005 that divides 3005 without a remainder.

1,5,601,3005

Greatest Common Factor

We found the factors 924,3005 . The biggest common factor number is the GCF number.
So the greatest common factor 924,3005 is 1.


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 8243/924, 9640/3005

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 8243/924, 9640/3005?

Answer: LCM of Numerators as per given numbers 8243/924, 9640/3005 is

LCM of Numerators i.e. for 8243,9640 is 79462520

GCF of denominators i.e. for 924,3005 is 1.

Thus, LCM of Fractions is 79462520.Finally, LCM of Fractions for 8243/924, 9640/3005 is 79462520.