Least Common Multiple of 3596/666, 5318/6381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3596/666, 5318/6381 quickly i.e. 9561764/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3596/666, 5318/6381 is 9561764/9.

LCM(3596/666, 5318/6381) = 9561764/9

LCM of 3596/666, 5318/6381

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 3596/666,5318/6381

Given numbers are 3596/666,5318/6381

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 3596,5318

Least Common Multiple of Numerators i.e. LCM of 3596,5318 is 9561764.

GCF of Denominators means GCF of 666,6381 as per the given fractions.

GCF of 666,6381 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3596,5318

LCM of Fractions 3596/666,5318/6381 is 9561764/9

2 3596, 5318
1798, 2659

∴ So the LCM of the given numbers is 2 x 1798 x 2659 = 9561764

Least Common Multiple of 3596,5318 with GCF Formula

Least Common Multiple of 3596,5318 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 3596,5318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3596,5318) = 2

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

GCF(3596,5318) x common factors =2 x 1 = 2

LCM(3596,5318) = ( 3596 × 5318 ) / 2

LCM(3596,5318) = 19123528 / 2

LCM(3596,5318) = 9561764


Lets's calculate GCF of 666,6381

3 666, 6381
3 222, 2127
74, 709

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9561764/9

Therefore the LCM of Fractions 3596/666,5318/6381 is 9561764/9

Greatest Common Factor of 666,6381 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,6381 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 6381

List of positive integer factors of 6381 that divides 6381 without a remainder.

1,3,9,709,2127,6381

Greatest Common Factor

We found the factors 666,6381 . The biggest common factor number is the GCF number.
So the greatest common factor 666,6381 is 9.


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 3596/666, 5318/6381

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 3596/666, 5318/6381?

Answer: LCM of Numerators as per given numbers 3596/666, 5318/6381 is

LCM of Numerators i.e. for 3596,5318 is 9561764

GCF of denominators i.e. for 666,6381 is 9.

Thus, LCM of Fractions is 9561764/9.Finally, LCM of Fractions for 3596/666, 5318/6381 is 9561764/9.