Least Common Multiple of 822/96, 216/6927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/96, 216/6927 quickly i.e. 9864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/96, 216/6927 is 9864.

LCM(822/96, 216/6927) = 9864

LCM of 822/96, 216/6927

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 822/96,216/6927

Given numbers are 822/96,216/6927

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 822,216

Least Common Multiple of Numerators i.e. LCM of 822,216 is 29592.

GCF of Denominators means GCF of 96,6927 as per the given fractions.

GCF of 96,6927 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,216

LCM of Fractions 822/96,216/6927 is 9864

2 822, 216
3 411, 108
137, 36

∴ So the LCM of the given numbers is 2 x 3 x 137 x 36 = 29592

Least Common Multiple of 822,216 with GCF Formula

Least Common Multiple of 822,216 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 822,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,216) = 6

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

GCF(822,216) x common factors =6 x 1 = 6

LCM(822,216) = ( 822 × 216 ) / 6

LCM(822,216) = 177552 / 6

LCM(822,216) = 29592


Lets's calculate GCF of 96,6927

3 96, 6927
32, 2309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29592/3

Therefore the LCM of Fractions 822/96,216/6927 is 9864

Greatest Common Factor of 96,6927 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,6927 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 6927

List of positive integer factors of 6927 that divides 6927 without a remainder.

1,3,2309,6927

Greatest Common Factor

We found the factors 96,6927 . The biggest common factor number is the GCF number.
So the greatest common factor 96,6927 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 822/96, 216/6927

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 822/96, 216/6927?

Answer: LCM of Numerators as per given numbers 822/96, 216/6927 is

LCM of Numerators i.e. for 822,216 is 29592

GCF of denominators i.e. for 96,6927 is 3.

Thus, LCM of Fractions is 9864.Finally, LCM of Fractions for 822/96, 216/6927 is 9864.