Least Common Multiple of 90/66, 15/17, 399/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/66, 15/17, 399/561 quickly i.e. 11970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/66, 15/17, 399/561 is 11970.

LCM(90/66, 15/17, 399/561) = 11970

LCM of 90/66, 15/17, 399/561

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 90/66,15/17,399/561

Given numbers are 90/66,15/17,399/561

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 90,15,399

Least Common Multiple of Numerators i.e. LCM of 90,15,399 is 11970.

GCF of Denominators means GCF of 66,17,561 as per the given fractions.

GCF of 66,17,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,15,399

LCM of Fractions 90/66,15/17,399/561 is 11970

3 90, 15, 399
5 30, 5, 133
6, 1, 133

∴ So the LCM of the given numbers is 3 x 5 x 6 x 1 x 133 = 11970

Least Common Multiple of 90,15,399 with GCF Formula

Least Common Multiple of 90,15,399 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 90,15,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,15,399) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(90,15,399) x common factors =3 x 15 = 45

LCM(90,15,399) = ( 90 × 15 × 399 ) / 45

LCM(90,15,399) = 538650 / 45

LCM(90,15,399) = 11970


Lets's calculate GCF of 66,17,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11970/1

Therefore the LCM of Fractions 90/66,15/17,399/561 is 11970

Greatest Common Factor of 66,17,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,17,561 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 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 66,17,561 . The biggest common factor number is the GCF number.
So the greatest common factor 66,17,561 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 90/66, 15/17, 399/561

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 90/66, 15/17, 399/561?

Answer: LCM of Numerators as per given numbers 90/66, 15/17, 399/561 is

LCM of Numerators i.e. for 90,15,399 is 11970

GCF of denominators i.e. for 66,17,561 is 1.

Thus, LCM of Fractions is 11970.Finally, LCM of Fractions for 90/66, 15/17, 399/561 is 11970.