Least Common Multiple of 72/389, 3609/3277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/389, 3609/3277 quickly i.e. 28872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/389, 3609/3277 is 28872.

LCM(72/389, 3609/3277) = 28872

LCM of 72/389, 3609/3277

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 72/389,3609/3277

Given numbers are 72/389,3609/3277

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 72,3609

Least Common Multiple of Numerators i.e. LCM of 72,3609 is 28872.

GCF of Denominators means GCF of 389,3277 as per the given fractions.

GCF of 389,3277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,3609

LCM of Fractions 72/389,3609/3277 is 28872

3 72, 3609
3 24, 1203
8, 401

∴ So the LCM of the given numbers is 3 x 3 x 8 x 401 = 28872

Least Common Multiple of 72,3609 with GCF Formula

Least Common Multiple of 72,3609 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 72,3609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,3609) = 9

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

GCF(72,3609) x common factors =9 x 1 = 9

LCM(72,3609) = ( 72 × 3609 ) / 9

LCM(72,3609) = 259848 / 9

LCM(72,3609) = 28872


Lets's calculate GCF of 389,3277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28872/1

Therefore the LCM of Fractions 72/389,3609/3277 is 28872

Greatest Common Factor of 389,3277 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,3277 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 3277

List of positive integer factors of 3277 that divides 3277 without a remainder.

1,29,113,3277

Greatest Common Factor

We found the factors 389,3277 . The biggest common factor number is the GCF number.
So the greatest common factor 389,3277 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/389, 3609/3277

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 72/389, 3609/3277?

Answer: LCM of Numerators as per given numbers 72/389, 3609/3277 is

LCM of Numerators i.e. for 72,3609 is 28872

GCF of denominators i.e. for 389,3277 is 1.

Thus, LCM of Fractions is 28872.Finally, LCM of Fractions for 72/389, 3609/3277 is 28872.