Least Common Multiple of 289/88, 940/3609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/88, 940/3609 quickly i.e. 271660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/88, 940/3609 is 271660.

LCM(289/88, 940/3609) = 271660

LCM of 289/88, 940/3609

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 289/88,940/3609

Given numbers are 289/88,940/3609

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 289,940

Least Common Multiple of Numerators i.e. LCM of 289,940 is 271660.

GCF of Denominators means GCF of 88,3609 as per the given fractions.

GCF of 88,3609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,940

LCM of Fractions 289/88,940/3609 is 271660

Given numbers has no common factors except 1. So, there LCM is their product i.e 271660

Least Common Multiple of 289,940 with GCF Formula

Least Common Multiple of 289,940 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 289,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,940) = 1

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

GCF(289,940) x common factors =1 x 1 = 1

LCM(289,940) = ( 289 × 940 ) / 1

LCM(289,940) = 271660 / 1

LCM(289,940) = 271660


Lets's calculate GCF of 88,3609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271660/1

Therefore the LCM of Fractions 289/88,940/3609 is 271660

Greatest Common Factor of 88,3609 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,3609 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

Greatest Common Factor

We found the factors 88,3609 . The biggest common factor number is the GCF number.
So the greatest common factor 88,3609 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 289/88, 940/3609

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 289/88, 940/3609?

Answer: LCM of Numerators as per given numbers 289/88, 940/3609 is

LCM of Numerators i.e. for 289,940 is 271660

GCF of denominators i.e. for 88,3609 is 1.

Thus, LCM of Fractions is 271660.Finally, LCM of Fractions for 289/88, 940/3609 is 271660.