Least Common Multiple of 6758/566, 9484/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6758/566, 9484/994 quickly i.e. 16023218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6758/566, 9484/994 is 16023218.

LCM(6758/566, 9484/994) = 16023218

LCM of 6758/566, 9484/994

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 6758/566,9484/994

Given numbers are 6758/566,9484/994

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 6758,9484

Least Common Multiple of Numerators i.e. LCM of 6758,9484 is 32046436.

GCF of Denominators means GCF of 566,994 as per the given fractions.

GCF of 566,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6758,9484

LCM of Fractions 6758/566,9484/994 is 16023218

2 6758, 9484
3379, 4742

∴ So the LCM of the given numbers is 2 x 3379 x 4742 = 32046436

Least Common Multiple of 6758,9484 with GCF Formula

Least Common Multiple of 6758,9484 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 6758,9484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6758,9484) = 2

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

GCF(6758,9484) x common factors =2 x 1 = 2

LCM(6758,9484) = ( 6758 × 9484 ) / 2

LCM(6758,9484) = 64092872 / 2

LCM(6758,9484) = 32046436


Lets's calculate GCF of 566,994

2 566, 994
283, 497

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32046436/2

Therefore the LCM of Fractions 6758/566,9484/994 is 16023218

Greatest Common Factor of 566,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,994 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 566,994 . The biggest common factor number is the GCF number.
So the greatest common factor 566,994 is 2.


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 6758/566, 9484/994

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 6758/566, 9484/994?

Answer: LCM of Numerators as per given numbers 6758/566, 9484/994 is

LCM of Numerators i.e. for 6758,9484 is 32046436

GCF of denominators i.e. for 566,994 is 2.

Thus, LCM of Fractions is 16023218.Finally, LCM of Fractions for 6758/566, 9484/994 is 16023218.