Least Common Multiple of 724/90, 445/57, 351/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/90, 445/57, 351/915 quickly i.e. 37695060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/90, 445/57, 351/915 is 37695060.

LCM(724/90, 445/57, 351/915) = 37695060

LCM of 724/90, 445/57, 351/915

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 724/90,445/57,351/915

Given numbers are 724/90,445/57,351/915

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 724,445,351

Least Common Multiple of Numerators i.e. LCM of 724,445,351 is 113085180.

GCF of Denominators means GCF of 90,57,915 as per the given fractions.

GCF of 90,57,915 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,445,351

LCM of Fractions 724/90,445/57,351/915 is 37695060

Given numbers has no common factors except 1. So, there LCM is their product i.e 113085180

Least Common Multiple of 724,445,351 with GCF Formula

Least Common Multiple of 724,445,351 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 724,445,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,445,351) = 1

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

GCF(724,445,351) x common factors =1 x 1 = 1

LCM(724,445,351) = ( 724 × 445 × 351 ) / 1

LCM(724,445,351) = 113085180 / 1

LCM(724,445,351) = 113085180


Lets's calculate GCF of 90,57,915

3 90, 57, 915
30, 19, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113085180/3

Therefore the LCM of Fractions 724/90,445/57,351/915 is 37695060

Greatest Common Factor of 90,57,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,57,915 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 90,57,915 . The biggest common factor number is the GCF number.
So the greatest common factor 90,57,915 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 724/90, 445/57, 351/915

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 724/90, 445/57, 351/915?

Answer: LCM of Numerators as per given numbers 724/90, 445/57, 351/915 is

LCM of Numerators i.e. for 724,445,351 is 113085180

GCF of denominators i.e. for 90,57,915 is 3.

Thus, LCM of Fractions is 37695060.Finally, LCM of Fractions for 724/90, 445/57, 351/915 is 37695060.