Least Common Multiple of 59/591, 240/375, 400/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/591, 240/375, 400/723 quickly i.e. 23600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/591, 240/375, 400/723 is 23600.

LCM(59/591, 240/375, 400/723) = 23600

LCM of 59/591, 240/375, 400/723

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 59/591,240/375,400/723

Given numbers are 59/591,240/375,400/723

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 59,240,400

Least Common Multiple of Numerators i.e. LCM of 59,240,400 is 70800.

GCF of Denominators means GCF of 591,375,723 as per the given fractions.

GCF of 591,375,723 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,240,400

LCM of Fractions 59/591,240/375,400/723 is 23600

2 59, 240, 400
2 59, 120, 200
2 59, 60, 100
2 59, 30, 50
5 59, 15, 25
59, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 59 x 3 x 5 = 70800

Least Common Multiple of 59,240,400 with GCF Formula

Least Common Multiple of 59,240,400 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 59,240,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,240,400) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(59,240,400) x common factors =1 x 80 = 80

LCM(59,240,400) = ( 59 × 240 × 400 ) / 80

LCM(59,240,400) = 5664000 / 80

LCM(59,240,400) = 70800


Lets's calculate GCF of 591,375,723

3 591, 375, 723
197, 125, 241

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70800/3

Therefore the LCM of Fractions 59/591,240/375,400/723 is 23600

Greatest Common Factor of 591,375,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,375,723 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 723

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

1,3,241,723

Greatest Common Factor

We found the factors 591,375,723 . The biggest common factor number is the GCF number.
So the greatest common factor 591,375,723 is 3.


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 59/591, 240/375, 400/723

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 59/591, 240/375, 400/723?

Answer: LCM of Numerators as per given numbers 59/591, 240/375, 400/723 is

LCM of Numerators i.e. for 59,240,400 is 70800

GCF of denominators i.e. for 591,375,723 is 3.

Thus, LCM of Fractions is 23600.Finally, LCM of Fractions for 59/591, 240/375, 400/723 is 23600.