Least Common Multiple of 9264/612, 2232/7821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9264/612, 2232/7821 quickly i.e. 95728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9264/612, 2232/7821 is 95728.

LCM(9264/612, 2232/7821) = 95728

LCM of 9264/612, 2232/7821

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 9264/612,2232/7821

Given numbers are 9264/612,2232/7821

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 9264,2232

Least Common Multiple of Numerators i.e. LCM of 9264,2232 is 861552.

GCF of Denominators means GCF of 612,7821 as per the given fractions.

GCF of 612,7821 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9264,2232

LCM of Fractions 9264/612,2232/7821 is 95728

2 9264, 2232
2 4632, 1116
2 2316, 558
3 1158, 279
386, 93

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 386 x 93 = 861552

Least Common Multiple of 9264,2232 with GCF Formula

Least Common Multiple of 9264,2232 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 9264,2232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9264,2232) = 24

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

GCF(9264,2232) x common factors =24 x 1 = 24

LCM(9264,2232) = ( 9264 × 2232 ) / 24

LCM(9264,2232) = 20677248 / 24

LCM(9264,2232) = 861552


Lets's calculate GCF of 612,7821

3 612, 7821
3 204, 2607
68, 869

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 861552/9

Therefore the LCM of Fractions 9264/612,2232/7821 is 95728

Greatest Common Factor of 612,7821 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,7821 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Greatest Common Factor

We found the factors 612,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 612,7821 is 9.


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 9264/612, 2232/7821

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 9264/612, 2232/7821?

Answer: LCM of Numerators as per given numbers 9264/612, 2232/7821 is

LCM of Numerators i.e. for 9264,2232 is 861552

GCF of denominators i.e. for 612,7821 is 9.

Thus, LCM of Fractions is 95728.Finally, LCM of Fractions for 9264/612, 2232/7821 is 95728.