Least Common Multiple of 513/18, 397/96, 961/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/18, 397/96, 961/338 quickly i.e. 195718221/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/18, 397/96, 961/338 is 195718221/2.

LCM(513/18, 397/96, 961/338) = 195718221/2

LCM of 513/18, 397/96, 961/338

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 513/18,397/96,961/338

Given numbers are 513/18,397/96,961/338

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 513,397,961

Least Common Multiple of Numerators i.e. LCM of 513,397,961 is 195718221.

GCF of Denominators means GCF of 18,96,338 as per the given fractions.

GCF of 18,96,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,397,961

LCM of Fractions 513/18,397/96,961/338 is 195718221/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 195718221

Least Common Multiple of 513,397,961 with GCF Formula

Least Common Multiple of 513,397,961 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 513,397,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,397,961) = 1

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

GCF(513,397,961) x common factors =1 x 1 = 1

LCM(513,397,961) = ( 513 × 397 × 961 ) / 1

LCM(513,397,961) = 195718221 / 1

LCM(513,397,961) = 195718221


Lets's calculate GCF of 18,96,338

2 18, 96, 338
9, 48, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195718221/2

Therefore the LCM of Fractions 513/18,397/96,961/338 is 195718221/2

Greatest Common Factor of 18,96,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,96,338 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 18,96,338 . The biggest common factor number is the GCF number.
So the greatest common factor 18,96,338 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 513/18, 397/96, 961/338

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 513/18, 397/96, 961/338?

Answer: LCM of Numerators as per given numbers 513/18, 397/96, 961/338 is

LCM of Numerators i.e. for 513,397,961 is 195718221

GCF of denominators i.e. for 18,96,338 is 2.

Thus, LCM of Fractions is 195718221/2.Finally, LCM of Fractions for 513/18, 397/96, 961/338 is 195718221/2.