Least Common Multiple of 99/186, 580/689, 198/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/186, 580/689, 198/718 quickly i.e. 57420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/186, 580/689, 198/718 is 57420.

LCM(99/186, 580/689, 198/718) = 57420

LCM of 99/186, 580/689, 198/718

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 99/186,580/689,198/718

Given numbers are 99/186,580/689,198/718

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 99,580,198

Least Common Multiple of Numerators i.e. LCM of 99,580,198 is 57420.

GCF of Denominators means GCF of 186,689,718 as per the given fractions.

GCF of 186,689,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,580,198

LCM of Fractions 99/186,580/689,198/718 is 57420

2 99, 580, 198
3 99, 290, 99
3 33, 290, 33
11 11, 290, 11
1, 290, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 290 x 1 = 57420

Least Common Multiple of 99,580,198 with GCF Formula

Least Common Multiple of 99,580,198 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 99,580,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,580,198) = 1

common factors(in case of two or more numbers have common factors) = 198

GCF(99,580,198) x common factors =1 x 198 = 198

LCM(99,580,198) = ( 99 × 580 × 198 ) / 198

LCM(99,580,198) = 11369160 / 198

LCM(99,580,198) = 57420


Lets's calculate GCF of 186,689,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57420/1

Therefore the LCM of Fractions 99/186,580/689,198/718 is 57420

Greatest Common Factor of 186,689,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,689,718 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 186,689,718 . The biggest common factor number is the GCF number.
So the greatest common factor 186,689,718 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 99/186, 580/689, 198/718

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 99/186, 580/689, 198/718?

Answer: LCM of Numerators as per given numbers 99/186, 580/689, 198/718 is

LCM of Numerators i.e. for 99,580,198 is 57420

GCF of denominators i.e. for 186,689,718 is 1.

Thus, LCM of Fractions is 57420.Finally, LCM of Fractions for 99/186, 580/689, 198/718 is 57420.