Least Common Multiple of 400/93, 582/37, 713/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/93, 582/37, 713/582 quickly i.e. 82993200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/93, 582/37, 713/582 is 82993200.

LCM(400/93, 582/37, 713/582) = 82993200

LCM of 400/93, 582/37, 713/582

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 400/93,582/37,713/582

Given numbers are 400/93,582/37,713/582

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 400,582,713

Least Common Multiple of Numerators i.e. LCM of 400,582,713 is 82993200.

GCF of Denominators means GCF of 93,37,582 as per the given fractions.

GCF of 93,37,582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,582,713

LCM of Fractions 400/93,582/37,713/582 is 82993200

2 400, 582, 713
200, 291, 713

∴ So the LCM of the given numbers is 2 x 200 x 291 x 713 = 82993200

Least Common Multiple of 400,582,713 with GCF Formula

Least Common Multiple of 400,582,713 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 400,582,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,582,713) = 1

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

GCF(400,582,713) x common factors =1 x 2 = 2

LCM(400,582,713) = ( 400 × 582 × 713 ) / 2

LCM(400,582,713) = 165986400 / 2

LCM(400,582,713) = 82993200


Lets's calculate GCF of 93,37,582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82993200/1

Therefore the LCM of Fractions 400/93,582/37,713/582 is 82993200

Greatest Common Factor of 93,37,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,37,582 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 93,37,582 . The biggest common factor number is the GCF number.
So the greatest common factor 93,37,582 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 400/93, 582/37, 713/582

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 400/93, 582/37, 713/582?

Answer: LCM of Numerators as per given numbers 400/93, 582/37, 713/582 is

LCM of Numerators i.e. for 400,582,713 is 82993200

GCF of denominators i.e. for 93,37,582 is 1.

Thus, LCM of Fractions is 82993200.Finally, LCM of Fractions for 400/93, 582/37, 713/582 is 82993200.