Least Common Multiple of 397/17, 137/6459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/17, 137/6459 quickly i.e. 54389 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/17, 137/6459 is 54389.

LCM(397/17, 137/6459) = 54389

LCM of 397/17, 137/6459

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 397/17,137/6459

Given numbers are 397/17,137/6459

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 397,137

Least Common Multiple of Numerators i.e. LCM of 397,137 is 54389.

GCF of Denominators means GCF of 17,6459 as per the given fractions.

GCF of 17,6459 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,137

LCM of Fractions 397/17,137/6459 is 54389

Given numbers has no common factors except 1. So, there LCM is their product i.e 54389

Least Common Multiple of 397,137 with GCF Formula

Least Common Multiple of 397,137 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 397,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,137) = 1

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

GCF(397,137) x common factors =1 x 1 = 1

LCM(397,137) = ( 397 × 137 ) / 1

LCM(397,137) = 54389 / 1

LCM(397,137) = 54389


Lets's calculate GCF of 17,6459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54389/1

Therefore the LCM of Fractions 397/17,137/6459 is 54389

Greatest Common Factor of 17,6459 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,6459 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 6459

List of positive integer factors of 6459 that divides 6459 without a remainder.

1,3,2153,6459

Greatest Common Factor

We found the factors 17,6459 . The biggest common factor number is the GCF number.
So the greatest common factor 17,6459 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 397/17, 137/6459

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 397/17, 137/6459?

Answer: LCM of Numerators as per given numbers 397/17, 137/6459 is

LCM of Numerators i.e. for 397,137 is 54389

GCF of denominators i.e. for 17,6459 is 1.

Thus, LCM of Fractions is 54389.Finally, LCM of Fractions for 397/17, 137/6459 is 54389.