Least Common Multiple of 59/258, 47/271, 997/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/258, 47/271, 997/729 quickly i.e. 2764681 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/258, 47/271, 997/729 is 2764681.

LCM(59/258, 47/271, 997/729) = 2764681

LCM of 59/258, 47/271, 997/729

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 59/258,47/271,997/729

Given numbers are 59/258,47/271,997/729

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 59,47,997

Least Common Multiple of Numerators i.e. LCM of 59,47,997 is 2764681.

GCF of Denominators means GCF of 258,271,729 as per the given fractions.

GCF of 258,271,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,47,997

LCM of Fractions 59/258,47/271,997/729 is 2764681

Given numbers has no common factors except 1. So, there LCM is their product i.e 2764681

Least Common Multiple of 59,47,997 with GCF Formula

Least Common Multiple of 59,47,997 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 59,47,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,47,997) = 1

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

GCF(59,47,997) x common factors =1 x 1 = 1

LCM(59,47,997) = ( 59 × 47 × 997 ) / 1

LCM(59,47,997) = 2764681 / 1

LCM(59,47,997) = 2764681


Lets's calculate GCF of 258,271,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2764681/1

Therefore the LCM of Fractions 59/258,47/271,997/729 is 2764681

Greatest Common Factor of 258,271,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,271,729 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 258,271,729 . The biggest common factor number is the GCF number.
So the greatest common factor 258,271,729 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 59/258, 47/271, 997/729

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 59/258, 47/271, 997/729?

Answer: LCM of Numerators as per given numbers 59/258, 47/271, 997/729 is

LCM of Numerators i.e. for 59,47,997 is 2764681

GCF of denominators i.e. for 258,271,729 is 1.

Thus, LCM of Fractions is 2764681.Finally, LCM of Fractions for 59/258, 47/271, 997/729 is 2764681.