Least Common Multiple of 330/71, 582/75, 198/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/71, 582/75, 198/147 quickly i.e. 96030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/71, 582/75, 198/147 is 96030.

LCM(330/71, 582/75, 198/147) = 96030

LCM of 330/71, 582/75, 198/147

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 330/71,582/75,198/147

Given numbers are 330/71,582/75,198/147

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 330,582,198

Least Common Multiple of Numerators i.e. LCM of 330,582,198 is 96030.

GCF of Denominators means GCF of 71,75,147 as per the given fractions.

GCF of 71,75,147 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,582,198

LCM of Fractions 330/71,582/75,198/147 is 96030

2 330, 582, 198
3 165, 291, 99
11 55, 97, 33
5, 97, 3

∴ So the LCM of the given numbers is 2 x 3 x 11 x 5 x 97 x 3 = 96030

Least Common Multiple of 330,582,198 with GCF Formula

Least Common Multiple of 330,582,198 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 330,582,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,582,198) = 6

common factors(in case of two or more numbers have common factors) = 66

GCF(330,582,198) x common factors =6 x 66 = 396

LCM(330,582,198) = ( 330 × 582 × 198 ) / 396

LCM(330,582,198) = 38027880 / 396

LCM(330,582,198) = 96030


Lets's calculate GCF of 71,75,147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96030/1

Therefore the LCM of Fractions 330/71,582/75,198/147 is 96030

Greatest Common Factor of 71,75,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,75,147 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 71,75,147 . The biggest common factor number is the GCF number.
So the greatest common factor 71,75,147 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 330/71, 582/75, 198/147

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 330/71, 582/75, 198/147?

Answer: LCM of Numerators as per given numbers 330/71, 582/75, 198/147 is

LCM of Numerators i.e. for 330,582,198 is 96030

GCF of denominators i.e. for 71,75,147 is 1.

Thus, LCM of Fractions is 96030.Finally, LCM of Fractions for 330/71, 582/75, 198/147 is 96030.