Least Common Multiple of 512/751, 509/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/751, 509/446 quickly i.e. 260608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/751, 509/446 is 260608.

LCM(512/751, 509/446) = 260608

LCM of 512/751, 509/446

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 512/751,509/446

Given numbers are 512/751,509/446

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 512,509

Least Common Multiple of Numerators i.e. LCM of 512,509 is 260608.

GCF of Denominators means GCF of 751,446 as per the given fractions.

GCF of 751,446 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,509

LCM of Fractions 512/751,509/446 is 260608

Given numbers has no common factors except 1. So, there LCM is their product i.e 260608

Least Common Multiple of 512,509 with GCF Formula

Least Common Multiple of 512,509 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 512,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,509) = 1

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

GCF(512,509) x common factors =1 x 1 = 1

LCM(512,509) = ( 512 × 509 ) / 1

LCM(512,509) = 260608 / 1

LCM(512,509) = 260608


Lets's calculate GCF of 751,446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260608/1

Therefore the LCM of Fractions 512/751,509/446 is 260608

Greatest Common Factor of 751,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,446 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 751,446 . The biggest common factor number is the GCF number.
So the greatest common factor 751,446 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 512/751, 509/446

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 512/751, 509/446?

Answer: LCM of Numerators as per given numbers 512/751, 509/446 is

LCM of Numerators i.e. for 512,509 is 260608

GCF of denominators i.e. for 751,446 is 1.

Thus, LCM of Fractions is 260608.Finally, LCM of Fractions for 512/751, 509/446 is 260608.