Least Common Multiple of 915/570, 198/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 915/570, 198/190 quickly i.e. 60390/190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 915/570, 198/190 is 60390/190.

LCM(915/570, 198/190) = 60390/190

LCM of 915/570, 198/190

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 915/570,198/190

Given numbers are 915/570,198/190

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 915,198

Least Common Multiple of Numerators i.e. LCM of 915,198 is 60390.

GCF of Denominators means GCF of 570,190 as per the given fractions.

GCF of 570,190 is 190 as it is the largest common factor for these numbers.

Lets's calculate LCM of 915,198

LCM of Fractions 915/570,198/190 is 60390/190

3 915, 198
305, 66

∴ So the LCM of the given numbers is 3 x 305 x 66 = 60390

Least Common Multiple of 915,198 with GCF Formula

Least Common Multiple of 915,198 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 915,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,198) = 3

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

GCF(915,198) x common factors =3 x 1 = 3

LCM(915,198) = ( 915 × 198 ) / 3

LCM(915,198) = 181170 / 3

LCM(915,198) = 60390


Lets's calculate GCF of 570,190

2 570, 190
5 285, 95
19 57, 19
3, 1

∴ So the GCF of the given numbers is 2 x 5 x 19 = 190

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60390/190

Therefore the LCM of Fractions 915/570,198/190 is 60390/190

Greatest Common Factor of 570,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,190 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 570,190 . The biggest common factor number is the GCF number.
So the greatest common factor 570,190 is 190.


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 915/570, 198/190

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 915/570, 198/190?

Answer: LCM of Numerators as per given numbers 915/570, 198/190 is

LCM of Numerators i.e. for 915,198 is 60390

GCF of denominators i.e. for 570,190 is 190.

Thus, LCM of Fractions is 60390/190.Finally, LCM of Fractions for 915/570, 198/190 is 60390/190.