Least Common Multiple of 486/90, 990/56, 660/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/90, 990/56, 660/22 quickly i.e. 26730 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, 990/56, 660/22 is 26730.

LCM(486/90, 990/56, 660/22) = 26730

LCM of 486/90, 990/56, 660/22

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 486/90,990/56,660/22

Given numbers are 486/90,990/56,660/22

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 486,990,660

Least Common Multiple of Numerators i.e. LCM of 486,990,660 is 53460.

GCF of Denominators means GCF of 90,56,22 as per the given fractions.

GCF of 90,56,22 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,990,660

LCM of Fractions 486/90,990/56,660/22 is 26730

2 486, 990, 660
3 243, 495, 330
3 81, 165, 110
5 27, 55, 110
11 27, 11, 22
27, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 11 x 27 x 1 x 2 = 53460

Least Common Multiple of 486,990,660 with GCF Formula

Least Common Multiple of 486,990,660 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 486,990,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,990,660) = 6

common factors(in case of two or more numbers have common factors) = 990

GCF(486,990,660) x common factors =6 x 990 = 5940

LCM(486,990,660) = ( 486 × 990 × 660 ) / 5940

LCM(486,990,660) = 317552400 / 5940

LCM(486,990,660) = 53460


Lets's calculate GCF of 90,56,22

2 90, 56, 22
45, 28, 11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53460/2

Therefore the LCM of Fractions 486/90,990/56,660/22 is 26730

Greatest Common Factor of 90,56,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,56,22 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 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors 90,56,22 . The biggest common factor number is the GCF number.
So the greatest common factor 90,56,22 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 486/90, 990/56, 660/22

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, 990/56, 660/22?

Answer: LCM of Numerators as per given numbers 486/90, 990/56, 660/22 is

LCM of Numerators i.e. for 486,990,660 is 53460

GCF of denominators i.e. for 90,56,22 is 2.

Thus, LCM of Fractions is 26730.Finally, LCM of Fractions for 486/90, 990/56, 660/22 is 26730.