Least Common Multiple of 510/913, 229/216, 288/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/913, 229/216, 288/230 quickly i.e. 5605920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/913, 229/216, 288/230 is 5605920.

LCM(510/913, 229/216, 288/230) = 5605920

LCM of 510/913, 229/216, 288/230

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 510/913,229/216,288/230

Given numbers are 510/913,229/216,288/230

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 510,229,288

Least Common Multiple of Numerators i.e. LCM of 510,229,288 is 5605920.

GCF of Denominators means GCF of 913,216,230 as per the given fractions.

GCF of 913,216,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,229,288

LCM of Fractions 510/913,229/216,288/230 is 5605920

2 510, 229, 288
3 255, 229, 144
85, 229, 48

∴ So the LCM of the given numbers is 2 x 3 x 85 x 229 x 48 = 5605920

Least Common Multiple of 510,229,288 with GCF Formula

Least Common Multiple of 510,229,288 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 510,229,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,229,288) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(510,229,288) x common factors =1 x 6 = 6

LCM(510,229,288) = ( 510 × 229 × 288 ) / 6

LCM(510,229,288) = 33635520 / 6

LCM(510,229,288) = 5605920


Lets's calculate GCF of 913,216,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5605920/1

Therefore the LCM of Fractions 510/913,229/216,288/230 is 5605920

Greatest Common Factor of 913,216,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,216,230 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

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 913,216,230 . The biggest common factor number is the GCF number.
So the greatest common factor 913,216,230 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 510/913, 229/216, 288/230

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 510/913, 229/216, 288/230?

Answer: LCM of Numerators as per given numbers 510/913, 229/216, 288/230 is

LCM of Numerators i.e. for 510,229,288 is 5605920

GCF of denominators i.e. for 913,216,230 is 1.

Thus, LCM of Fractions is 5605920.Finally, LCM of Fractions for 510/913, 229/216, 288/230 is 5605920.