Least Common Multiple of 90/990, 229/895, 433/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/990, 229/895, 433/820 quickly i.e. 1784826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/990, 229/895, 433/820 is 1784826.

LCM(90/990, 229/895, 433/820) = 1784826

LCM of 90/990, 229/895, 433/820

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 90/990,229/895,433/820

Given numbers are 90/990,229/895,433/820

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 90,229,433

Least Common Multiple of Numerators i.e. LCM of 90,229,433 is 8924130.

GCF of Denominators means GCF of 990,895,820 as per the given fractions.

GCF of 990,895,820 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,229,433

LCM of Fractions 90/990,229/895,433/820 is 1784826

Given numbers has no common factors except 1. So, there LCM is their product i.e 8924130

Least Common Multiple of 90,229,433 with GCF Formula

Least Common Multiple of 90,229,433 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 90,229,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,229,433) = 1

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

GCF(90,229,433) x common factors =1 x 1 = 1

LCM(90,229,433) = ( 90 × 229 × 433 ) / 1

LCM(90,229,433) = 8924130 / 1

LCM(90,229,433) = 8924130


Lets's calculate GCF of 990,895,820

5 990, 895, 820
198, 179, 164

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8924130/5

Therefore the LCM of Fractions 90/990,229/895,433/820 is 1784826

Greatest Common Factor of 990,895,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,895,820 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 990,895,820 . The biggest common factor number is the GCF number.
So the greatest common factor 990,895,820 is 5.


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 90/990, 229/895, 433/820

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 90/990, 229/895, 433/820?

Answer: LCM of Numerators as per given numbers 90/990, 229/895, 433/820 is

LCM of Numerators i.e. for 90,229,433 is 8924130

GCF of denominators i.e. for 990,895,820 is 5.

Thus, LCM of Fractions is 1784826.Finally, LCM of Fractions for 90/990, 229/895, 433/820 is 1784826.