Least Common Multiple of 59/724, 27/736, 464/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/724, 27/736, 464/581 quickly i.e. 739152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/724, 27/736, 464/581 is 739152.

LCM(59/724, 27/736, 464/581) = 739152

LCM of 59/724, 27/736, 464/581

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 59/724,27/736,464/581

Given numbers are 59/724,27/736,464/581

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 59,27,464

Least Common Multiple of Numerators i.e. LCM of 59,27,464 is 739152.

GCF of Denominators means GCF of 724,736,581 as per the given fractions.

GCF of 724,736,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,27,464

LCM of Fractions 59/724,27/736,464/581 is 739152

Given numbers has no common factors except 1. So, there LCM is their product i.e 739152

Least Common Multiple of 59,27,464 with GCF Formula

Least Common Multiple of 59,27,464 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 59,27,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,27,464) = 1

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

GCF(59,27,464) x common factors =1 x 1 = 1

LCM(59,27,464) = ( 59 × 27 × 464 ) / 1

LCM(59,27,464) = 739152 / 1

LCM(59,27,464) = 739152


Lets's calculate GCF of 724,736,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739152/1

Therefore the LCM of Fractions 59/724,27/736,464/581 is 739152

Greatest Common Factor of 724,736,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,736,581 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 724,736,581 . The biggest common factor number is the GCF number.
So the greatest common factor 724,736,581 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 59/724, 27/736, 464/581

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 59/724, 27/736, 464/581?

Answer: LCM of Numerators as per given numbers 59/724, 27/736, 464/581 is

LCM of Numerators i.e. for 59,27,464 is 739152

GCF of denominators i.e. for 724,736,581 is 1.

Thus, LCM of Fractions is 739152.Finally, LCM of Fractions for 59/724, 27/736, 464/581 is 739152.