Least Common Multiple of 46/433, 29/978, 516/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/433, 29/978, 516/513 quickly i.e. 344172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/433, 29/978, 516/513 is 344172.

LCM(46/433, 29/978, 516/513) = 344172

LCM of 46/433, 29/978, 516/513

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 46/433,29/978,516/513

Given numbers are 46/433,29/978,516/513

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 46,29,516

Least Common Multiple of Numerators i.e. LCM of 46,29,516 is 344172.

GCF of Denominators means GCF of 433,978,513 as per the given fractions.

GCF of 433,978,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,29,516

LCM of Fractions 46/433,29/978,516/513 is 344172

2 46, 29, 516
23, 29, 258

∴ So the LCM of the given numbers is 2 x 23 x 29 x 258 = 344172

Least Common Multiple of 46,29,516 with GCF Formula

Least Common Multiple of 46,29,516 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 46,29,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,29,516) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,29,516) x common factors =1 x 2 = 2

LCM(46,29,516) = ( 46 × 29 × 516 ) / 2

LCM(46,29,516) = 688344 / 2

LCM(46,29,516) = 344172


Lets's calculate GCF of 433,978,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344172/1

Therefore the LCM of Fractions 46/433,29/978,516/513 is 344172

Greatest Common Factor of 433,978,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,978,513 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 513

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

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

Greatest Common Factor

We found the factors 433,978,513 . The biggest common factor number is the GCF number.
So the greatest common factor 433,978,513 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 46/433, 29/978, 516/513

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 46/433, 29/978, 516/513?

Answer: LCM of Numerators as per given numbers 46/433, 29/978, 516/513 is

LCM of Numerators i.e. for 46,29,516 is 344172

GCF of denominators i.e. for 433,978,513 is 1.

Thus, LCM of Fractions is 344172.Finally, LCM of Fractions for 46/433, 29/978, 516/513 is 344172.