Least Common Multiple of 521/66, 113/88, 566/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 521/66, 113/88, 566/208 quickly i.e. 16661059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 521/66, 113/88, 566/208 is 16661059.

LCM(521/66, 113/88, 566/208) = 16661059

LCM of 521/66, 113/88, 566/208

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 521/66,113/88,566/208

Given numbers are 521/66,113/88,566/208

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 521,113,566

Least Common Multiple of Numerators i.e. LCM of 521,113,566 is 33322118.

GCF of Denominators means GCF of 66,88,208 as per the given fractions.

GCF of 66,88,208 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 521,113,566

LCM of Fractions 521/66,113/88,566/208 is 16661059

Given numbers has no common factors except 1. So, there LCM is their product i.e 33322118

Least Common Multiple of 521,113,566 with GCF Formula

Least Common Multiple of 521,113,566 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 521,113,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,113,566) = 1

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

GCF(521,113,566) x common factors =1 x 1 = 1

LCM(521,113,566) = ( 521 × 113 × 566 ) / 1

LCM(521,113,566) = 33322118 / 1

LCM(521,113,566) = 33322118


Lets's calculate GCF of 66,88,208

2 66, 88, 208
33, 44, 104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33322118/2

Therefore the LCM of Fractions 521/66,113/88,566/208 is 16661059

Greatest Common Factor of 66,88,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,88,208 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 66,88,208 . The biggest common factor number is the GCF number.
So the greatest common factor 66,88,208 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 521/66, 113/88, 566/208

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 521/66, 113/88, 566/208?

Answer: LCM of Numerators as per given numbers 521/66, 113/88, 566/208 is

LCM of Numerators i.e. for 521,113,566 is 33322118

GCF of denominators i.e. for 66,88,208 is 2.

Thus, LCM of Fractions is 16661059.Finally, LCM of Fractions for 521/66, 113/88, 566/208 is 16661059.