Least Common Multiple of 2922/846, 6774/5367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2922/846, 6774/5367 quickly i.e. 1099646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2922/846, 6774/5367 is 1099646.

LCM(2922/846, 6774/5367) = 1099646

LCM of 2922/846, 6774/5367

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 2922/846,6774/5367

Given numbers are 2922/846,6774/5367

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 2922,6774

Least Common Multiple of Numerators i.e. LCM of 2922,6774 is 3298938.

GCF of Denominators means GCF of 846,5367 as per the given fractions.

GCF of 846,5367 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2922,6774

LCM of Fractions 2922/846,6774/5367 is 1099646

2 2922, 6774
3 1461, 3387
487, 1129

∴ So the LCM of the given numbers is 2 x 3 x 487 x 1129 = 3298938

Least Common Multiple of 2922,6774 with GCF Formula

Least Common Multiple of 2922,6774 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 2922,6774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2922,6774) = 6

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

GCF(2922,6774) x common factors =6 x 1 = 6

LCM(2922,6774) = ( 2922 × 6774 ) / 6

LCM(2922,6774) = 19793628 / 6

LCM(2922,6774) = 3298938


Lets's calculate GCF of 846,5367

3 846, 5367
282, 1789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3298938/3

Therefore the LCM of Fractions 2922/846,6774/5367 is 1099646

Greatest Common Factor of 846,5367 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,5367 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 5367

List of positive integer factors of 5367 that divides 5367 without a remainder.

1,3,1789,5367

Greatest Common Factor

We found the factors 846,5367 . The biggest common factor number is the GCF number.
So the greatest common factor 846,5367 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 2922/846, 6774/5367

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 2922/846, 6774/5367?

Answer: LCM of Numerators as per given numbers 2922/846, 6774/5367 is

LCM of Numerators i.e. for 2922,6774 is 3298938

GCF of denominators i.e. for 846,5367 is 3.

Thus, LCM of Fractions is 1099646.Finally, LCM of Fractions for 2922/846, 6774/5367 is 1099646.