Least Common Multiple of 8040/272, 3365/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8040/272, 3365/440 quickly i.e. 676365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8040/272, 3365/440 is 676365.

LCM(8040/272, 3365/440) = 676365

LCM of 8040/272, 3365/440

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 8040/272,3365/440

Given numbers are 8040/272,3365/440

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 8040,3365

Least Common Multiple of Numerators i.e. LCM of 8040,3365 is 5410920.

GCF of Denominators means GCF of 272,440 as per the given fractions.

GCF of 272,440 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8040,3365

LCM of Fractions 8040/272,3365/440 is 676365

5 8040, 3365
1608, 673

∴ So the LCM of the given numbers is 5 x 1608 x 673 = 5410920

Least Common Multiple of 8040,3365 with GCF Formula

Least Common Multiple of 8040,3365 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 8040,3365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8040,3365) = 5

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

GCF(8040,3365) x common factors =5 x 1 = 5

LCM(8040,3365) = ( 8040 × 3365 ) / 5

LCM(8040,3365) = 27054600 / 5

LCM(8040,3365) = 5410920


Lets's calculate GCF of 272,440

2 272, 440
2 136, 220
2 68, 110
34, 55

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5410920/8

Therefore the LCM of Fractions 8040/272,3365/440 is 676365

Greatest Common Factor of 272,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,440 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 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 272,440 . The biggest common factor number is the GCF number.
So the greatest common factor 272,440 is 8.


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 8040/272, 3365/440

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 8040/272, 3365/440?

Answer: LCM of Numerators as per given numbers 8040/272, 3365/440 is

LCM of Numerators i.e. for 8040,3365 is 5410920

GCF of denominators i.e. for 272,440 is 8.

Thus, LCM of Fractions is 676365.Finally, LCM of Fractions for 8040/272, 3365/440 is 676365.