Least Common Multiple of 726/16, 681/39, 431/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/16, 681/39, 431/75 quickly i.e. 71029662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/16, 681/39, 431/75 is 71029662.

LCM(726/16, 681/39, 431/75) = 71029662

LCM of 726/16, 681/39, 431/75

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 726/16,681/39,431/75

Given numbers are 726/16,681/39,431/75

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 726,681,431

Least Common Multiple of Numerators i.e. LCM of 726,681,431 is 71029662.

GCF of Denominators means GCF of 16,39,75 as per the given fractions.

GCF of 16,39,75 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,681,431

LCM of Fractions 726/16,681/39,431/75 is 71029662

3 726, 681, 431
242, 227, 431

∴ So the LCM of the given numbers is 3 x 242 x 227 x 431 = 71029662

Least Common Multiple of 726,681,431 with GCF Formula

Least Common Multiple of 726,681,431 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 726,681,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,681,431) = 1

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

GCF(726,681,431) x common factors =1 x 3 = 3

LCM(726,681,431) = ( 726 × 681 × 431 ) / 3

LCM(726,681,431) = 213088986 / 3

LCM(726,681,431) = 71029662


Lets's calculate GCF of 16,39,75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71029662/1

Therefore the LCM of Fractions 726/16,681/39,431/75 is 71029662

Greatest Common Factor of 16,39,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,39,75 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 16,39,75 . The biggest common factor number is the GCF number.
So the greatest common factor 16,39,75 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 726/16, 681/39, 431/75

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 726/16, 681/39, 431/75?

Answer: LCM of Numerators as per given numbers 726/16, 681/39, 431/75 is

LCM of Numerators i.e. for 726,681,431 is 71029662

GCF of denominators i.e. for 16,39,75 is 1.

Thus, LCM of Fractions is 71029662.Finally, LCM of Fractions for 726/16, 681/39, 431/75 is 71029662.