Least Common Multiple of 289/272, 3845/7627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/272, 3845/7627 quickly i.e. 1111205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/272, 3845/7627 is 1111205.

LCM(289/272, 3845/7627) = 1111205

LCM of 289/272, 3845/7627

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 289/272,3845/7627

Given numbers are 289/272,3845/7627

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 289,3845

Least Common Multiple of Numerators i.e. LCM of 289,3845 is 1111205.

GCF of Denominators means GCF of 272,7627 as per the given fractions.

GCF of 272,7627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,3845

LCM of Fractions 289/272,3845/7627 is 1111205

Given numbers has no common factors except 1. So, there LCM is their product i.e 1111205

Least Common Multiple of 289,3845 with GCF Formula

Least Common Multiple of 289,3845 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 289,3845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,3845) = 1

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

GCF(289,3845) x common factors =1 x 1 = 1

LCM(289,3845) = ( 289 × 3845 ) / 1

LCM(289,3845) = 1111205 / 1

LCM(289,3845) = 1111205


Lets's calculate GCF of 272,7627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1111205/1

Therefore the LCM of Fractions 289/272,3845/7627 is 1111205

Greatest Common Factor of 272,7627 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,7627 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 7627

List of positive integer factors of 7627 that divides 7627 without a remainder.

1,29,263,7627

Greatest Common Factor

We found the factors 272,7627 . The biggest common factor number is the GCF number.
So the greatest common factor 272,7627 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 289/272, 3845/7627

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 289/272, 3845/7627?

Answer: LCM of Numerators as per given numbers 289/272, 3845/7627 is

LCM of Numerators i.e. for 289,3845 is 1111205

GCF of denominators i.e. for 272,7627 is 1.

Thus, LCM of Fractions is 1111205.Finally, LCM of Fractions for 289/272, 3845/7627 is 1111205.