Least Common Multiple of 66/323, 211/364, 759/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/323, 211/364, 759/990 quickly i.e. 320298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/323, 211/364, 759/990 is 320298.

LCM(66/323, 211/364, 759/990) = 320298

LCM of 66/323, 211/364, 759/990

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 66/323,211/364,759/990

Given numbers are 66/323,211/364,759/990

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 66,211,759

Least Common Multiple of Numerators i.e. LCM of 66,211,759 is 320298.

GCF of Denominators means GCF of 323,364,990 as per the given fractions.

GCF of 323,364,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,211,759

LCM of Fractions 66/323,211/364,759/990 is 320298

3 66, 211, 759
11 22, 211, 253
2, 211, 23

∴ So the LCM of the given numbers is 3 x 11 x 2 x 211 x 23 = 320298

Least Common Multiple of 66,211,759 with GCF Formula

Least Common Multiple of 66,211,759 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 66,211,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,211,759) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(66,211,759) x common factors =1 x 33 = 33

LCM(66,211,759) = ( 66 × 211 × 759 ) / 33

LCM(66,211,759) = 10569834 / 33

LCM(66,211,759) = 320298


Lets's calculate GCF of 323,364,990

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320298/1

Therefore the LCM of Fractions 66/323,211/364,759/990 is 320298

Greatest Common Factor of 323,364,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,364,990 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 323,364,990 . The biggest common factor number is the GCF number.
So the greatest common factor 323,364,990 is 1.


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 66/323, 211/364, 759/990

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 66/323, 211/364, 759/990?

Answer: LCM of Numerators as per given numbers 66/323, 211/364, 759/990 is

LCM of Numerators i.e. for 66,211,759 is 320298

GCF of denominators i.e. for 323,364,990 is 1.

Thus, LCM of Fractions is 320298.Finally, LCM of Fractions for 66/323, 211/364, 759/990 is 320298.