Least Common Multiple of 398/59, 252/63, 191/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/59, 252/63, 191/516 quickly i.e. 9578268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/59, 252/63, 191/516 is 9578268.

LCM(398/59, 252/63, 191/516) = 9578268

LCM of 398/59, 252/63, 191/516

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 398/59,252/63,191/516

Given numbers are 398/59,252/63,191/516

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 398,252,191

Least Common Multiple of Numerators i.e. LCM of 398,252,191 is 9578268.

GCF of Denominators means GCF of 59,63,516 as per the given fractions.

GCF of 59,63,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,252,191

LCM of Fractions 398/59,252/63,191/516 is 9578268

2 398, 252, 191
199, 126, 191

∴ So the LCM of the given numbers is 2 x 199 x 126 x 191 = 9578268

Least Common Multiple of 398,252,191 with GCF Formula

Least Common Multiple of 398,252,191 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 398,252,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,252,191) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(398,252,191) x common factors =1 x 2 = 2

LCM(398,252,191) = ( 398 × 252 × 191 ) / 2

LCM(398,252,191) = 19156536 / 2

LCM(398,252,191) = 9578268


Lets's calculate GCF of 59,63,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9578268/1

Therefore the LCM of Fractions 398/59,252/63,191/516 is 9578268

Greatest Common Factor of 59,63,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,63,516 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 59,63,516 . The biggest common factor number is the GCF number.
So the greatest common factor 59,63,516 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 398/59, 252/63, 191/516

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 398/59, 252/63, 191/516?

Answer: LCM of Numerators as per given numbers 398/59, 252/63, 191/516 is

LCM of Numerators i.e. for 398,252,191 is 9578268

GCF of denominators i.e. for 59,63,516 is 1.

Thus, LCM of Fractions is 9578268.Finally, LCM of Fractions for 398/59, 252/63, 191/516 is 9578268.