Least Common Multiple of 574/13, 398/9957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 574/13, 398/9957 quickly i.e. 114226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/13, 398/9957 is 114226.

LCM(574/13, 398/9957) = 114226

LCM of 574/13, 398/9957

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 574/13,398/9957

Given numbers are 574/13,398/9957

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 574,398

Least Common Multiple of Numerators i.e. LCM of 574,398 is 114226.

GCF of Denominators means GCF of 13,9957 as per the given fractions.

GCF of 13,9957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,398

LCM of Fractions 574/13,398/9957 is 114226

2 574, 398
287, 199

∴ So the LCM of the given numbers is 2 x 287 x 199 = 114226

Least Common Multiple of 574,398 with GCF Formula

Least Common Multiple of 574,398 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 574,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,398) = 2

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

GCF(574,398) x common factors =2 x 1 = 2

LCM(574,398) = ( 574 × 398 ) / 2

LCM(574,398) = 228452 / 2

LCM(574,398) = 114226


Lets's calculate GCF of 13,9957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114226/1

Therefore the LCM of Fractions 574/13,398/9957 is 114226

Greatest Common Factor of 13,9957 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,9957 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 9957

List of positive integer factors of 9957 that divides 9957 without a remainder.

1,3,3319,9957

Greatest Common Factor

We found the factors 13,9957 . The biggest common factor number is the GCF number.
So the greatest common factor 13,9957 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 574/13, 398/9957

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 574/13, 398/9957?

Answer: LCM of Numerators as per given numbers 574/13, 398/9957 is

LCM of Numerators i.e. for 574,398 is 114226

GCF of denominators i.e. for 13,9957 is 1.

Thus, LCM of Fractions is 114226.Finally, LCM of Fractions for 574/13, 398/9957 is 114226.