Least Common Multiple of 72/822, 9384/4650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/822, 9384/4650 quickly i.e. 4692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/822, 9384/4650 is 4692.

LCM(72/822, 9384/4650) = 4692

LCM of 72/822, 9384/4650

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 72/822,9384/4650

Given numbers are 72/822,9384/4650

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 72,9384

Least Common Multiple of Numerators i.e. LCM of 72,9384 is 28152.

GCF of Denominators means GCF of 822,4650 as per the given fractions.

GCF of 822,4650 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,9384

LCM of Fractions 72/822,9384/4650 is 4692

2 72, 9384
2 36, 4692
2 18, 2346
3 9, 1173
3, 391

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 391 = 28152

Least Common Multiple of 72,9384 with GCF Formula

Least Common Multiple of 72,9384 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 72,9384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,9384) = 24

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

GCF(72,9384) x common factors =24 x 1 = 24

LCM(72,9384) = ( 72 × 9384 ) / 24

LCM(72,9384) = 675648 / 24

LCM(72,9384) = 28152


Lets's calculate GCF of 822,4650

2 822, 4650
3 411, 2325
137, 775

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28152/6

Therefore the LCM of Fractions 72/822,9384/4650 is 4692

Greatest Common Factor of 822,4650 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,4650 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 4650

List of positive integer factors of 4650 that divides 4650 without a remainder.

1,2,3,5,6,10,15,25,30,31,50,62,75,93,150,155,186,310,465,775,930,1550,2325,4650

Greatest Common Factor

We found the factors 822,4650 . The biggest common factor number is the GCF number.
So the greatest common factor 822,4650 is 6.


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 72/822, 9384/4650

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 72/822, 9384/4650?

Answer: LCM of Numerators as per given numbers 72/822, 9384/4650 is

LCM of Numerators i.e. for 72,9384 is 28152

GCF of denominators i.e. for 822,4650 is 6.

Thus, LCM of Fractions is 4692.Finally, LCM of Fractions for 72/822, 9384/4650 is 4692.