Least Common Multiple of 513/458, 8274/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 513/458, 8274/862 quickly i.e. 707427 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/458, 8274/862 is 707427.

LCM(513/458, 8274/862) = 707427

LCM of 513/458, 8274/862

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 513/458,8274/862

Given numbers are 513/458,8274/862

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 513,8274

Least Common Multiple of Numerators i.e. LCM of 513,8274 is 1414854.

GCF of Denominators means GCF of 458,862 as per the given fractions.

GCF of 458,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,8274

LCM of Fractions 513/458,8274/862 is 707427

3 513, 8274
171, 2758

∴ So the LCM of the given numbers is 3 x 171 x 2758 = 1414854

Least Common Multiple of 513,8274 with GCF Formula

Least Common Multiple of 513,8274 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 513,8274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,8274) = 3

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

GCF(513,8274) x common factors =3 x 1 = 3

LCM(513,8274) = ( 513 × 8274 ) / 3

LCM(513,8274) = 4244562 / 3

LCM(513,8274) = 1414854


Lets's calculate GCF of 458,862

2 458, 862
229, 431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1414854/2

Therefore the LCM of Fractions 513/458,8274/862 is 707427

Greatest Common Factor of 458,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,862 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 458,862 . The biggest common factor number is the GCF number.
So the greatest common factor 458,862 is 2.


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 513/458, 8274/862

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 513/458, 8274/862?

Answer: LCM of Numerators as per given numbers 513/458, 8274/862 is

LCM of Numerators i.e. for 513,8274 is 1414854

GCF of denominators i.e. for 458,862 is 2.

Thus, LCM of Fractions is 707427.Finally, LCM of Fractions for 513/458, 8274/862 is 707427.