Least Common Multiple of 8640/662, 6415/5304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8640/662, 6415/5304 quickly i.e. 5542560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8640/662, 6415/5304 is 5542560.

LCM(8640/662, 6415/5304) = 5542560

LCM of 8640/662, 6415/5304

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 8640/662,6415/5304

Given numbers are 8640/662,6415/5304

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 8640,6415

Least Common Multiple of Numerators i.e. LCM of 8640,6415 is 11085120.

GCF of Denominators means GCF of 662,5304 as per the given fractions.

GCF of 662,5304 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8640,6415

LCM of Fractions 8640/662,6415/5304 is 5542560

5 8640, 6415
1728, 1283

∴ So the LCM of the given numbers is 5 x 1728 x 1283 = 11085120

Least Common Multiple of 8640,6415 with GCF Formula

Least Common Multiple of 8640,6415 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 8640,6415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8640,6415) = 5

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

GCF(8640,6415) x common factors =5 x 1 = 5

LCM(8640,6415) = ( 8640 × 6415 ) / 5

LCM(8640,6415) = 55425600 / 5

LCM(8640,6415) = 11085120


Lets's calculate GCF of 662,5304

2 662, 5304
331, 2652

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11085120/2

Therefore the LCM of Fractions 8640/662,6415/5304 is 5542560

Greatest Common Factor of 662,5304 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,5304 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 5304

List of positive integer factors of 5304 that divides 5304 without a remainder.

1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304

Greatest Common Factor

We found the factors 662,5304 . The biggest common factor number is the GCF number.
So the greatest common factor 662,5304 is 2.


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 8640/662, 6415/5304

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 8640/662, 6415/5304?

Answer: LCM of Numerators as per given numbers 8640/662, 6415/5304 is

LCM of Numerators i.e. for 8640,6415 is 11085120

GCF of denominators i.e. for 662,5304 is 2.

Thus, LCM of Fractions is 5542560.Finally, LCM of Fractions for 8640/662, 6415/5304 is 5542560.