Least Common Multiple of 72/386, 6589/3842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/386, 6589/3842 quickly i.e. 237204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/386, 6589/3842 is 237204.

LCM(72/386, 6589/3842) = 237204

LCM of 72/386, 6589/3842

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 72/386,6589/3842

Given numbers are 72/386,6589/3842

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 72,6589

Least Common Multiple of Numerators i.e. LCM of 72,6589 is 474408.

GCF of Denominators means GCF of 386,3842 as per the given fractions.

GCF of 386,3842 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,6589

LCM of Fractions 72/386,6589/3842 is 237204

Given numbers has no common factors except 1. So, there LCM is their product i.e 474408

Least Common Multiple of 72,6589 with GCF Formula

Least Common Multiple of 72,6589 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 72,6589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,6589) = 1

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

GCF(72,6589) x common factors =1 x 1 = 1

LCM(72,6589) = ( 72 × 6589 ) / 1

LCM(72,6589) = 474408 / 1

LCM(72,6589) = 474408


Lets's calculate GCF of 386,3842

2 386, 3842
193, 1921

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474408/2

Therefore the LCM of Fractions 72/386,6589/3842 is 237204

Greatest Common Factor of 386,3842 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,3842 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 3842

List of positive integer factors of 3842 that divides 3842 without a remainder.

1,2,17,34,113,226,1921,3842

Greatest Common Factor

We found the factors 386,3842 . The biggest common factor number is the GCF number.
So the greatest common factor 386,3842 is 2.


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 72/386, 6589/3842

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 72/386, 6589/3842?

Answer: LCM of Numerators as per given numbers 72/386, 6589/3842 is

LCM of Numerators i.e. for 72,6589 is 474408

GCF of denominators i.e. for 386,3842 is 2.

Thus, LCM of Fractions is 237204.Finally, LCM of Fractions for 72/386, 6589/3842 is 237204.