Least Common Multiple of 8640/488, 2623/7823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8640/488, 2623/7823 quickly i.e. 22662720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8640/488, 2623/7823 is 22662720.

LCM(8640/488, 2623/7823) = 22662720

LCM of 8640/488, 2623/7823

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 8640/488,2623/7823

Given numbers are 8640/488,2623/7823

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 8640,2623

Least Common Multiple of Numerators i.e. LCM of 8640,2623 is 22662720.

GCF of Denominators means GCF of 488,7823 as per the given fractions.

GCF of 488,7823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8640,2623

LCM of Fractions 8640/488,2623/7823 is 22662720

Given numbers has no common factors except 1. So, there LCM is their product i.e 22662720

Least Common Multiple of 8640,2623 with GCF Formula

Least Common Multiple of 8640,2623 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 8640,2623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8640,2623) = 1

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

GCF(8640,2623) x common factors =1 x 1 = 1

LCM(8640,2623) = ( 8640 × 2623 ) / 1

LCM(8640,2623) = 22662720 / 1

LCM(8640,2623) = 22662720


Lets's calculate GCF of 488,7823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22662720/1

Therefore the LCM of Fractions 8640/488,2623/7823 is 22662720

Greatest Common Factor of 488,7823 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,7823 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 7823

List of positive integer factors of 7823 that divides 7823 without a remainder.

1,7823

Greatest Common Factor

We found the factors 488,7823 . The biggest common factor number is the GCF number.
So the greatest common factor 488,7823 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 8640/488, 2623/7823

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 8640/488, 2623/7823?

Answer: LCM of Numerators as per given numbers 8640/488, 2623/7823 is

LCM of Numerators i.e. for 8640,2623 is 22662720

GCF of denominators i.e. for 488,7823 is 1.

Thus, LCM of Fractions is 22662720.Finally, LCM of Fractions for 8640/488, 2623/7823 is 22662720.