Least Common Multiple of 5574/396, 9966/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5574/396, 9966/466 quickly i.e. 4629207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5574/396, 9966/466 is 4629207.

LCM(5574/396, 9966/466) = 4629207

LCM of 5574/396, 9966/466

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 5574/396,9966/466

Given numbers are 5574/396,9966/466

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 5574,9966

Least Common Multiple of Numerators i.e. LCM of 5574,9966 is 9258414.

GCF of Denominators means GCF of 396,466 as per the given fractions.

GCF of 396,466 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5574,9966

LCM of Fractions 5574/396,9966/466 is 4629207

2 5574, 9966
3 2787, 4983
929, 1661

∴ So the LCM of the given numbers is 2 x 3 x 929 x 1661 = 9258414

Least Common Multiple of 5574,9966 with GCF Formula

Least Common Multiple of 5574,9966 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 5574,9966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5574,9966) = 6

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

GCF(5574,9966) x common factors =6 x 1 = 6

LCM(5574,9966) = ( 5574 × 9966 ) / 6

LCM(5574,9966) = 55550484 / 6

LCM(5574,9966) = 9258414


Lets's calculate GCF of 396,466

2 396, 466
198, 233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9258414/2

Therefore the LCM of Fractions 5574/396,9966/466 is 4629207

Greatest Common Factor of 396,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,466 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 396,466 . The biggest common factor number is the GCF number.
So the greatest common factor 396,466 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 5574/396, 9966/466

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 5574/396, 9966/466?

Answer: LCM of Numerators as per given numbers 5574/396, 9966/466 is

LCM of Numerators i.e. for 5574,9966 is 9258414

GCF of denominators i.e. for 396,466 is 2.

Thus, LCM of Fractions is 4629207.Finally, LCM of Fractions for 5574/396, 9966/466 is 4629207.