Least Common Multiple of 195/570, 397/290, 242/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 195/570, 397/290, 242/746 quickly i.e. 9367215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 195/570, 397/290, 242/746 is 9367215.

LCM(195/570, 397/290, 242/746) = 9367215

LCM of 195/570, 397/290, 242/746

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 195/570,397/290,242/746

Given numbers are 195/570,397/290,242/746

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 195,397,242

Least Common Multiple of Numerators i.e. LCM of 195,397,242 is 18734430.

GCF of Denominators means GCF of 570,290,746 as per the given fractions.

GCF of 570,290,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 195,397,242

LCM of Fractions 195/570,397/290,242/746 is 9367215

Given numbers has no common factors except 1. So, there LCM is their product i.e 18734430

Least Common Multiple of 195,397,242 with GCF Formula

Least Common Multiple of 195,397,242 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 195,397,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,397,242) = 1

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

GCF(195,397,242) x common factors =1 x 1 = 1

LCM(195,397,242) = ( 195 × 397 × 242 ) / 1

LCM(195,397,242) = 18734430 / 1

LCM(195,397,242) = 18734430


Lets's calculate GCF of 570,290,746

2 570, 290, 746
285, 145, 373

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18734430/2

Therefore the LCM of Fractions 195/570,397/290,242/746 is 9367215

Greatest Common Factor of 570,290,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,290,746 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 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 570,290,746 . The biggest common factor number is the GCF number.
So the greatest common factor 570,290,746 is 2.


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 195/570, 397/290, 242/746

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 195/570, 397/290, 242/746?

Answer: LCM of Numerators as per given numbers 195/570, 397/290, 242/746 is

LCM of Numerators i.e. for 195,397,242 is 18734430

GCF of denominators i.e. for 570,290,746 is 2.

Thus, LCM of Fractions is 9367215.Finally, LCM of Fractions for 195/570, 397/290, 242/746 is 9367215.