Least Common Multiple of 59/723, 600/513, 339/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/723, 600/513, 339/262 quickly i.e. 4000200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/723, 600/513, 339/262 is 4000200.

LCM(59/723, 600/513, 339/262) = 4000200

LCM of 59/723, 600/513, 339/262

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 59/723,600/513,339/262

Given numbers are 59/723,600/513,339/262

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 59,600,339

Least Common Multiple of Numerators i.e. LCM of 59,600,339 is 4000200.

GCF of Denominators means GCF of 723,513,262 as per the given fractions.

GCF of 723,513,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,600,339

LCM of Fractions 59/723,600/513,339/262 is 4000200

3 59, 600, 339
59, 200, 113

∴ So the LCM of the given numbers is 3 x 59 x 200 x 113 = 4000200

Least Common Multiple of 59,600,339 with GCF Formula

Least Common Multiple of 59,600,339 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 59,600,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,600,339) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(59,600,339) x common factors =1 x 3 = 3

LCM(59,600,339) = ( 59 × 600 × 339 ) / 3

LCM(59,600,339) = 12000600 / 3

LCM(59,600,339) = 4000200


Lets's calculate GCF of 723,513,262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4000200/1

Therefore the LCM of Fractions 59/723,600/513,339/262 is 4000200

Greatest Common Factor of 723,513,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,513,262 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 723,513,262 . The biggest common factor number is the GCF number.
So the greatest common factor 723,513,262 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 59/723, 600/513, 339/262

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 59/723, 600/513, 339/262?

Answer: LCM of Numerators as per given numbers 59/723, 600/513, 339/262 is

LCM of Numerators i.e. for 59,600,339 is 4000200

GCF of denominators i.e. for 723,513,262 is 1.

Thus, LCM of Fractions is 4000200.Finally, LCM of Fractions for 59/723, 600/513, 339/262 is 4000200.