Least Common Multiple of 12/264, 7577/9384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/264, 7577/9384 quickly i.e. 90924/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/264, 7577/9384 is 90924/24.

LCM(12/264, 7577/9384) = 90924/24

LCM of 12/264, 7577/9384

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 12/264,7577/9384

Given numbers are 12/264,7577/9384

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 12,7577

Least Common Multiple of Numerators i.e. LCM of 12,7577 is 90924.

GCF of Denominators means GCF of 264,9384 as per the given fractions.

GCF of 264,9384 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,7577

LCM of Fractions 12/264,7577/9384 is 90924/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 90924

Least Common Multiple of 12,7577 with GCF Formula

Least Common Multiple of 12,7577 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 12,7577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,7577) = 1

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

GCF(12,7577) x common factors =1 x 1 = 1

LCM(12,7577) = ( 12 × 7577 ) / 1

LCM(12,7577) = 90924 / 1

LCM(12,7577) = 90924


Lets's calculate GCF of 264,9384

2 264, 9384
2 132, 4692
2 66, 2346
3 33, 1173
11, 391

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90924/24

Therefore the LCM of Fractions 12/264,7577/9384 is 90924/24

Greatest Common Factor of 264,9384 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,9384 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 9384

List of positive integer factors of 9384 that divides 9384 without a remainder.

1,2,3,4,6,8,12,17,23,24,34,46,51,68,69,92,102,136,138,184,204,276,391,408,552,782,1173,1564,2346,3128,4692,9384

Greatest Common Factor

We found the factors 264,9384 . The biggest common factor number is the GCF number.
So the greatest common factor 264,9384 is 24.


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 12/264, 7577/9384

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 12/264, 7577/9384?

Answer: LCM of Numerators as per given numbers 12/264, 7577/9384 is

LCM of Numerators i.e. for 12,7577 is 90924

GCF of denominators i.e. for 264,9384 is 24.

Thus, LCM of Fractions is 90924/24.Finally, LCM of Fractions for 12/264, 7577/9384 is 90924/24.