Least Common Multiple of 16/360, 289/462, 860/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/360, 289/462, 860/283 quickly i.e. 994160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/360, 289/462, 860/283 is 994160.

LCM(16/360, 289/462, 860/283) = 994160

LCM of 16/360, 289/462, 860/283

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 16/360,289/462,860/283

Given numbers are 16/360,289/462,860/283

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 16,289,860

Least Common Multiple of Numerators i.e. LCM of 16,289,860 is 994160.

GCF of Denominators means GCF of 360,462,283 as per the given fractions.

GCF of 360,462,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,289,860

LCM of Fractions 16/360,289/462,860/283 is 994160

2 16, 289, 860
2 8, 289, 430
4, 289, 215

∴ So the LCM of the given numbers is 2 x 2 x 4 x 289 x 215 = 994160

Least Common Multiple of 16,289,860 with GCF Formula

Least Common Multiple of 16,289,860 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 16,289,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,289,860) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(16,289,860) x common factors =1 x 4 = 4

LCM(16,289,860) = ( 16 × 289 × 860 ) / 4

LCM(16,289,860) = 3976640 / 4

LCM(16,289,860) = 994160


Lets's calculate GCF of 360,462,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 994160/1

Therefore the LCM of Fractions 16/360,289/462,860/283 is 994160

Greatest Common Factor of 360,462,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,462,283 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 360,462,283 . The biggest common factor number is the GCF number.
So the greatest common factor 360,462,283 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 16/360, 289/462, 860/283

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 16/360, 289/462, 860/283?

Answer: LCM of Numerators as per given numbers 16/360, 289/462, 860/283 is

LCM of Numerators i.e. for 16,289,860 is 994160

GCF of denominators i.e. for 360,462,283 is 1.

Thus, LCM of Fractions is 994160.Finally, LCM of Fractions for 16/360, 289/462, 860/283 is 994160.