Least Common Multiple of 16/72, 34/17, 289/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/72, 34/17, 289/39 quickly i.e. 4624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/72, 34/17, 289/39 is 4624.

LCM(16/72, 34/17, 289/39) = 4624

LCM of 16/72, 34/17, 289/39

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 16/72,34/17,289/39

Given numbers are 16/72,34/17,289/39

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 16,34,289

Least Common Multiple of Numerators i.e. LCM of 16,34,289 is 4624.

GCF of Denominators means GCF of 72,17,39 as per the given fractions.

GCF of 72,17,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,34,289

LCM of Fractions 16/72,34/17,289/39 is 4624

2 16, 34, 289
17 8, 17, 289
8, 1, 17

∴ So the LCM of the given numbers is 2 x 17 x 8 x 1 x 17 = 4624

Least Common Multiple of 16,34,289 with GCF Formula

Least Common Multiple of 16,34,289 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 16,34,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,34,289) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(16,34,289) x common factors =1 x 34 = 34

LCM(16,34,289) = ( 16 × 34 × 289 ) / 34

LCM(16,34,289) = 157216 / 34

LCM(16,34,289) = 4624


Lets's calculate GCF of 72,17,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4624/1

Therefore the LCM of Fractions 16/72,34/17,289/39 is 4624

Greatest Common Factor of 72,17,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,17,39 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 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 39

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

1,3,13,39

Greatest Common Factor

We found the factors 72,17,39 . The biggest common factor number is the GCF number.
So the greatest common factor 72,17,39 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 16/72, 34/17, 289/39

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 16/72, 34/17, 289/39?

Answer: LCM of Numerators as per given numbers 16/72, 34/17, 289/39 is

LCM of Numerators i.e. for 16,34,289 is 4624

GCF of denominators i.e. for 72,17,39 is 1.

Thus, LCM of Fractions is 4624.Finally, LCM of Fractions for 16/72, 34/17, 289/39 is 4624.