Least Common Multiple of 8184/63, 9564/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8184/63, 9564/600 quickly i.e. 2174216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8184/63, 9564/600 is 2174216.

LCM(8184/63, 9564/600) = 2174216

LCM of 8184/63, 9564/600

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 8184/63,9564/600

Given numbers are 8184/63,9564/600

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 8184,9564

Least Common Multiple of Numerators i.e. LCM of 8184,9564 is 6522648.

GCF of Denominators means GCF of 63,600 as per the given fractions.

GCF of 63,600 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8184,9564

LCM of Fractions 8184/63,9564/600 is 2174216

2 8184, 9564
2 4092, 4782
3 2046, 2391
682, 797

∴ So the LCM of the given numbers is 2 x 2 x 3 x 682 x 797 = 6522648

Least Common Multiple of 8184,9564 with GCF Formula

Least Common Multiple of 8184,9564 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 8184,9564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8184,9564) = 12

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

GCF(8184,9564) x common factors =12 x 1 = 12

LCM(8184,9564) = ( 8184 × 9564 ) / 12

LCM(8184,9564) = 78271776 / 12

LCM(8184,9564) = 6522648


Lets's calculate GCF of 63,600

3 63, 600
21, 200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6522648/3

Therefore the LCM of Fractions 8184/63,9564/600 is 2174216

Greatest Common Factor of 63,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,600 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 63,600 . The biggest common factor number is the GCF number.
So the greatest common factor 63,600 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 8184/63, 9564/600

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 8184/63, 9564/600?

Answer: LCM of Numerators as per given numbers 8184/63, 9564/600 is

LCM of Numerators i.e. for 8184,9564 is 6522648

GCF of denominators i.e. for 63,600 is 3.

Thus, LCM of Fractions is 2174216.Finally, LCM of Fractions for 8184/63, 9564/600 is 2174216.