Least Common Multiple of 990/149, 206/188, 591/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 990/149, 206/188, 591/469 quickly i.e. 20088090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 990/149, 206/188, 591/469 is 20088090.

LCM(990/149, 206/188, 591/469) = 20088090

LCM of 990/149, 206/188, 591/469

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 990/149,206/188,591/469

Given numbers are 990/149,206/188,591/469

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 990,206,591

Least Common Multiple of Numerators i.e. LCM of 990,206,591 is 20088090.

GCF of Denominators means GCF of 149,188,469 as per the given fractions.

GCF of 149,188,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 990,206,591

LCM of Fractions 990/149,206/188,591/469 is 20088090

2 990, 206, 591
3 495, 103, 591
165, 103, 197

∴ So the LCM of the given numbers is 2 x 3 x 165 x 103 x 197 = 20088090

Least Common Multiple of 990,206,591 with GCF Formula

Least Common Multiple of 990,206,591 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 990,206,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,206,591) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(990,206,591) x common factors =1 x 6 = 6

LCM(990,206,591) = ( 990 × 206 × 591 ) / 6

LCM(990,206,591) = 120528540 / 6

LCM(990,206,591) = 20088090


Lets's calculate GCF of 149,188,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20088090/1

Therefore the LCM of Fractions 990/149,206/188,591/469 is 20088090

Greatest Common Factor of 149,188,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,188,469 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 149,188,469 . The biggest common factor number is the GCF number.
So the greatest common factor 149,188,469 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 990/149, 206/188, 591/469

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 990/149, 206/188, 591/469?

Answer: LCM of Numerators as per given numbers 990/149, 206/188, 591/469 is

LCM of Numerators i.e. for 990,206,591 is 20088090

GCF of denominators i.e. for 149,188,469 is 1.

Thus, LCM of Fractions is 20088090.Finally, LCM of Fractions for 990/149, 206/188, 591/469 is 20088090.