Least Common Multiple of 513/814, 9056/4609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/814, 9056/4609 quickly i.e. 4645728/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/814, 9056/4609 is 4645728/11.

LCM(513/814, 9056/4609) = 4645728/11

LCM of 513/814, 9056/4609

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 513/814,9056/4609

Given numbers are 513/814,9056/4609

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 513,9056

Least Common Multiple of Numerators i.e. LCM of 513,9056 is 4645728.

GCF of Denominators means GCF of 814,4609 as per the given fractions.

GCF of 814,4609 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,9056

LCM of Fractions 513/814,9056/4609 is 4645728/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 4645728

Least Common Multiple of 513,9056 with GCF Formula

Least Common Multiple of 513,9056 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 513,9056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,9056) = 1

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

GCF(513,9056) x common factors =1 x 1 = 1

LCM(513,9056) = ( 513 × 9056 ) / 1

LCM(513,9056) = 4645728 / 1

LCM(513,9056) = 4645728


Lets's calculate GCF of 814,4609

11 814, 4609
74, 419

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4645728/11

Therefore the LCM of Fractions 513/814,9056/4609 is 4645728/11

Greatest Common Factor of 814,4609 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,4609 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 4609

List of positive integer factors of 4609 that divides 4609 without a remainder.

1,11,419,4609

Greatest Common Factor

We found the factors 814,4609 . The biggest common factor number is the GCF number.
So the greatest common factor 814,4609 is 11.


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 513/814, 9056/4609

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 513/814, 9056/4609?

Answer: LCM of Numerators as per given numbers 513/814, 9056/4609 is

LCM of Numerators i.e. for 513,9056 is 4645728

GCF of denominators i.e. for 814,4609 is 11.

Thus, LCM of Fractions is 4645728/11.Finally, LCM of Fractions for 513/814, 9056/4609 is 4645728/11.