Least Common Multiple of 470/198, 961/393, 230/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 470/198, 961/393, 230/334 quickly i.e. 10388410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 470/198, 961/393, 230/334 is 10388410.

LCM(470/198, 961/393, 230/334) = 10388410

LCM of 470/198, 961/393, 230/334

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 470/198,961/393,230/334

Given numbers are 470/198,961/393,230/334

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 470,961,230

Least Common Multiple of Numerators i.e. LCM of 470,961,230 is 10388410.

GCF of Denominators means GCF of 198,393,334 as per the given fractions.

GCF of 198,393,334 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 470,961,230

LCM of Fractions 470/198,961/393,230/334 is 10388410

2 470, 961, 230
5 235, 961, 115
47, 961, 23

∴ So the LCM of the given numbers is 2 x 5 x 47 x 961 x 23 = 10388410

Least Common Multiple of 470,961,230 with GCF Formula

Least Common Multiple of 470,961,230 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 470,961,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,961,230) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(470,961,230) x common factors =1 x 10 = 10

LCM(470,961,230) = ( 470 × 961 × 230 ) / 10

LCM(470,961,230) = 103884100 / 10

LCM(470,961,230) = 10388410


Lets's calculate GCF of 198,393,334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10388410/1

Therefore the LCM of Fractions 470/198,961/393,230/334 is 10388410

Greatest Common Factor of 198,393,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,393,334 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 198,393,334 . The biggest common factor number is the GCF number.
So the greatest common factor 198,393,334 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 470/198, 961/393, 230/334

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 470/198, 961/393, 230/334?

Answer: LCM of Numerators as per given numbers 470/198, 961/393, 230/334 is

LCM of Numerators i.e. for 470,961,230 is 10388410

GCF of denominators i.e. for 198,393,334 is 1.

Thus, LCM of Fractions is 10388410.Finally, LCM of Fractions for 470/198, 961/393, 230/334 is 10388410.