Least Common Multiple of 486/90, 888/30, 333/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/90, 888/30, 333/516 quickly i.e. 11988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/90, 888/30, 333/516 is 11988.

LCM(486/90, 888/30, 333/516) = 11988

LCM of 486/90, 888/30, 333/516

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 486/90,888/30,333/516

Given numbers are 486/90,888/30,333/516

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 486,888,333

Least Common Multiple of Numerators i.e. LCM of 486,888,333 is 71928.

GCF of Denominators means GCF of 90,30,516 as per the given fractions.

GCF of 90,30,516 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,888,333

LCM of Fractions 486/90,888/30,333/516 is 11988

2 486, 888, 333
3 243, 444, 333
3 81, 148, 111
37 27, 148, 37
27, 4, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 37 x 27 x 4 x 1 = 71928

Least Common Multiple of 486,888,333 with GCF Formula

Least Common Multiple of 486,888,333 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 486,888,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,888,333) = 3

common factors(in case of two or more numbers have common factors) = 666

GCF(486,888,333) x common factors =3 x 666 = 1998

LCM(486,888,333) = ( 486 × 888 × 333 ) / 1998

LCM(486,888,333) = 143712144 / 1998

LCM(486,888,333) = 71928


Lets's calculate GCF of 90,30,516

2 90, 30, 516
3 45, 15, 258
5, 15, 86

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71928/6

Therefore the LCM of Fractions 486/90,888/30,333/516 is 11988

Greatest Common Factor of 90,30,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,30,516 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 90,30,516 . The biggest common factor number is the GCF number.
So the greatest common factor 90,30,516 is 6.


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 486/90, 888/30, 333/516

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 486/90, 888/30, 333/516?

Answer: LCM of Numerators as per given numbers 486/90, 888/30, 333/516 is

LCM of Numerators i.e. for 486,888,333 is 71928

GCF of denominators i.e. for 90,30,516 is 6.

Thus, LCM of Fractions is 11988.Finally, LCM of Fractions for 486/90, 888/30, 333/516 is 11988.