Least Common Multiple of 397/30, 582/91, 338/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/30, 582/91, 338/968 quickly i.e. 39048126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/30, 582/91, 338/968 is 39048126.

LCM(397/30, 582/91, 338/968) = 39048126

LCM of 397/30, 582/91, 338/968

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 397/30,582/91,338/968

Given numbers are 397/30,582/91,338/968

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 397,582,338

Least Common Multiple of Numerators i.e. LCM of 397,582,338 is 39048126.

GCF of Denominators means GCF of 30,91,968 as per the given fractions.

GCF of 30,91,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,582,338

LCM of Fractions 397/30,582/91,338/968 is 39048126

2 397, 582, 338
397, 291, 169

∴ So the LCM of the given numbers is 2 x 397 x 291 x 169 = 39048126

Least Common Multiple of 397,582,338 with GCF Formula

Least Common Multiple of 397,582,338 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 397,582,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,582,338) = 1

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

GCF(397,582,338) x common factors =1 x 2 = 2

LCM(397,582,338) = ( 397 × 582 × 338 ) / 2

LCM(397,582,338) = 78096252 / 2

LCM(397,582,338) = 39048126


Lets's calculate GCF of 30,91,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39048126/1

Therefore the LCM of Fractions 397/30,582/91,338/968 is 39048126

Greatest Common Factor of 30,91,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,91,968 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 30,91,968 . The biggest common factor number is the GCF number.
So the greatest common factor 30,91,968 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 397/30, 582/91, 338/968

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 397/30, 582/91, 338/968?

Answer: LCM of Numerators as per given numbers 397/30, 582/91, 338/968 is

LCM of Numerators i.e. for 397,582,338 is 39048126

GCF of denominators i.e. for 30,91,968 is 1.

Thus, LCM of Fractions is 39048126.Finally, LCM of Fractions for 397/30, 582/91, 338/968 is 39048126.