Least Common Multiple of 814/80, 996/2576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/80, 996/2576 quickly i.e. 405372/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/80, 996/2576 is 405372/16.

LCM(814/80, 996/2576) = 405372/16

LCM of 814/80, 996/2576

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 814/80,996/2576

Given numbers are 814/80,996/2576

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 814,996

Least Common Multiple of Numerators i.e. LCM of 814,996 is 405372.

GCF of Denominators means GCF of 80,2576 as per the given fractions.

GCF of 80,2576 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,996

LCM of Fractions 814/80,996/2576 is 405372/16

2 814, 996
407, 498

∴ So the LCM of the given numbers is 2 x 407 x 498 = 405372

Least Common Multiple of 814,996 with GCF Formula

Least Common Multiple of 814,996 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 814,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,996) = 2

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

GCF(814,996) x common factors =2 x 1 = 2

LCM(814,996) = ( 814 × 996 ) / 2

LCM(814,996) = 810744 / 2

LCM(814,996) = 405372


Lets's calculate GCF of 80,2576

2 80, 2576
2 40, 1288
2 20, 644
2 10, 322
5, 161

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405372/16

Therefore the LCM of Fractions 814/80,996/2576 is 405372/16

Greatest Common Factor of 80,2576 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,2576 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 2576

List of positive integer factors of 2576 that divides 2576 without a remainder.

1,2,4,7,8,14,16,23,28,46,56,92,112,161,184,322,368,644,1288,2576

Greatest Common Factor

We found the factors 80,2576 . The biggest common factor number is the GCF number.
So the greatest common factor 80,2576 is 16.


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 814/80, 996/2576

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 814/80, 996/2576?

Answer: LCM of Numerators as per given numbers 814/80, 996/2576 is

LCM of Numerators i.e. for 814,996 is 405372

GCF of denominators i.e. for 80,2576 is 16.

Thus, LCM of Fractions is 405372/16.Finally, LCM of Fractions for 814/80, 996/2576 is 405372/16.