Least Common Multiple of 2728/407, 2916/1269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2728/407, 2916/1269 quickly i.e. 1988712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2728/407, 2916/1269 is 1988712.

LCM(2728/407, 2916/1269) = 1988712

LCM of 2728/407, 2916/1269

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 2728/407,2916/1269

Given numbers are 2728/407,2916/1269

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 2728,2916

Least Common Multiple of Numerators i.e. LCM of 2728,2916 is 1988712.

GCF of Denominators means GCF of 407,1269 as per the given fractions.

GCF of 407,1269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2728,2916

LCM of Fractions 2728/407,2916/1269 is 1988712

2 2728, 2916
2 1364, 1458
682, 729

∴ So the LCM of the given numbers is 2 x 2 x 682 x 729 = 1988712

Least Common Multiple of 2728,2916 with GCF Formula

Least Common Multiple of 2728,2916 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 2728,2916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2728,2916) = 4

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

GCF(2728,2916) x common factors =4 x 1 = 4

LCM(2728,2916) = ( 2728 × 2916 ) / 4

LCM(2728,2916) = 7954848 / 4

LCM(2728,2916) = 1988712


Lets's calculate GCF of 407,1269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1988712/1

Therefore the LCM of Fractions 2728/407,2916/1269 is 1988712

Greatest Common Factor of 407,1269 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,1269 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 1269

List of positive integer factors of 1269 that divides 1269 without a remainder.

1,3,9,27,47,141,423,1269

Greatest Common Factor

We found the factors 407,1269 . The biggest common factor number is the GCF number.
So the greatest common factor 407,1269 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 2728/407, 2916/1269

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 2728/407, 2916/1269?

Answer: LCM of Numerators as per given numbers 2728/407, 2916/1269 is

LCM of Numerators i.e. for 2728,2916 is 1988712

GCF of denominators i.e. for 407,1269 is 1.

Thus, LCM of Fractions is 1988712.Finally, LCM of Fractions for 2728/407, 2916/1269 is 1988712.