Least Common Multiple of 990/809, 642/610, 825/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 990/809, 642/610, 825/215 quickly i.e. 529650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 990/809, 642/610, 825/215 is 529650.

LCM(990/809, 642/610, 825/215) = 529650

LCM of 990/809, 642/610, 825/215

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 990/809,642/610,825/215

Given numbers are 990/809,642/610,825/215

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 990,642,825

Least Common Multiple of Numerators i.e. LCM of 990,642,825 is 529650.

GCF of Denominators means GCF of 809,610,215 as per the given fractions.

GCF of 809,610,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 990,642,825

LCM of Fractions 990/809,642/610,825/215 is 529650

2 990, 642, 825
3 495, 321, 825
5 165, 107, 275
11 33, 107, 55
3, 107, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 3 x 107 x 5 = 529650

Least Common Multiple of 990,642,825 with GCF Formula

Least Common Multiple of 990,642,825 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 990,642,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,642,825) = 3

common factors(in case of two or more numbers have common factors) = 330

GCF(990,642,825) x common factors =3 x 330 = 990

LCM(990,642,825) = ( 990 × 642 × 825 ) / 990

LCM(990,642,825) = 524353500 / 990

LCM(990,642,825) = 529650


Lets's calculate GCF of 809,610,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 529650/1

Therefore the LCM of Fractions 990/809,642/610,825/215 is 529650

Greatest Common Factor of 809,610,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,610,215 By Matching Biggest Common Factor Method

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 809,610,215 . The biggest common factor number is the GCF number.
So the greatest common factor 809,610,215 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 990/809, 642/610, 825/215

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 990/809, 642/610, 825/215?

Answer: LCM of Numerators as per given numbers 990/809, 642/610, 825/215 is

LCM of Numerators i.e. for 990,642,825 is 529650

GCF of denominators i.e. for 809,610,215 is 1.

Thus, LCM of Fractions is 529650.Finally, LCM of Fractions for 990/809, 642/610, 825/215 is 529650.