Least Common Multiple of 516/513, 1454/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/513, 1454/409 quickly i.e. 375132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/513, 1454/409 is 375132.

LCM(516/513, 1454/409) = 375132

LCM of 516/513, 1454/409

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 516/513,1454/409

Given numbers are 516/513,1454/409

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 516,1454

Least Common Multiple of Numerators i.e. LCM of 516,1454 is 375132.

GCF of Denominators means GCF of 513,409 as per the given fractions.

GCF of 513,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,1454

LCM of Fractions 516/513,1454/409 is 375132

2 516, 1454
258, 727

∴ So the LCM of the given numbers is 2 x 258 x 727 = 375132

Least Common Multiple of 516,1454 with GCF Formula

Least Common Multiple of 516,1454 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 516,1454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,1454) = 2

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

GCF(516,1454) x common factors =2 x 1 = 2

LCM(516,1454) = ( 516 × 1454 ) / 2

LCM(516,1454) = 750264 / 2

LCM(516,1454) = 375132


Lets's calculate GCF of 513,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375132/1

Therefore the LCM of Fractions 516/513,1454/409 is 375132

Greatest Common Factor of 513,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,409 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 513,409 . The biggest common factor number is the GCF number.
So the greatest common factor 513,409 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 516/513, 1454/409

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 516/513, 1454/409?

Answer: LCM of Numerators as per given numbers 516/513, 1454/409 is

LCM of Numerators i.e. for 516,1454 is 375132

GCF of denominators i.e. for 513,409 is 1.

Thus, LCM of Fractions is 375132.Finally, LCM of Fractions for 516/513, 1454/409 is 375132.