Least Common Multiple of 516/924, 633/317, 289/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/924, 633/317, 289/230 quickly i.e. 31465164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/924, 633/317, 289/230 is 31465164.

LCM(516/924, 633/317, 289/230) = 31465164

LCM of 516/924, 633/317, 289/230

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 516/924,633/317,289/230

Given numbers are 516/924,633/317,289/230

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 516,633,289

Least Common Multiple of Numerators i.e. LCM of 516,633,289 is 31465164.

GCF of Denominators means GCF of 924,317,230 as per the given fractions.

GCF of 924,317,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,633,289

LCM of Fractions 516/924,633/317,289/230 is 31465164

3 516, 633, 289
172, 211, 289

∴ So the LCM of the given numbers is 3 x 172 x 211 x 289 = 31465164

Least Common Multiple of 516,633,289 with GCF Formula

Least Common Multiple of 516,633,289 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 516,633,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,633,289) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(516,633,289) x common factors =1 x 3 = 3

LCM(516,633,289) = ( 516 × 633 × 289 ) / 3

LCM(516,633,289) = 94395492 / 3

LCM(516,633,289) = 31465164


Lets's calculate GCF of 924,317,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31465164/1

Therefore the LCM of Fractions 516/924,633/317,289/230 is 31465164

Greatest Common Factor of 924,317,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,317,230 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 924,317,230 . The biggest common factor number is the GCF number.
So the greatest common factor 924,317,230 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 516/924, 633/317, 289/230

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 516/924, 633/317, 289/230?

Answer: LCM of Numerators as per given numbers 516/924, 633/317, 289/230 is

LCM of Numerators i.e. for 516,633,289 is 31465164

GCF of denominators i.e. for 924,317,230 is 1.

Thus, LCM of Fractions is 31465164.Finally, LCM of Fractions for 516/924, 633/317, 289/230 is 31465164.