Least Common Multiple of 726/72, 716/60, 349/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/72, 716/60, 349/15 quickly i.e. 30235964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/72, 716/60, 349/15 is 30235964.

LCM(726/72, 716/60, 349/15) = 30235964

LCM of 726/72, 716/60, 349/15

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 726/72,716/60,349/15

Given numbers are 726/72,716/60,349/15

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 726,716,349

Least Common Multiple of Numerators i.e. LCM of 726,716,349 is 90707892.

GCF of Denominators means GCF of 72,60,15 as per the given fractions.

GCF of 72,60,15 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,716,349

LCM of Fractions 726/72,716/60,349/15 is 30235964

2 726, 716, 349
363, 358, 349

∴ So the LCM of the given numbers is 2 x 363 x 358 x 349 = 90707892

Least Common Multiple of 726,716,349 with GCF Formula

Least Common Multiple of 726,716,349 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 726,716,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,716,349) = 1

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

GCF(726,716,349) x common factors =1 x 2 = 2

LCM(726,716,349) = ( 726 × 716 × 349 ) / 2

LCM(726,716,349) = 181415784 / 2

LCM(726,716,349) = 90707892


Lets's calculate GCF of 72,60,15

3 72, 60, 15
24, 20, 5

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90707892/3

Therefore the LCM of Fractions 726/72,716/60,349/15 is 30235964

Greatest Common Factor of 72,60,15 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,60,15 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Greatest Common Factor

We found the factors 72,60,15 . The biggest common factor number is the GCF number.
So the greatest common factor 72,60,15 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 726/72, 716/60, 349/15

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 726/72, 716/60, 349/15?

Answer: LCM of Numerators as per given numbers 726/72, 716/60, 349/15 is

LCM of Numerators i.e. for 726,716,349 is 90707892

GCF of denominators i.e. for 72,60,15 is 3.

Thus, LCM of Fractions is 30235964.Finally, LCM of Fractions for 726/72, 716/60, 349/15 is 30235964.