Least Common Multiple of 17/302, 198/367, 860/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/302, 198/367, 860/604 quickly i.e. 1447380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/302, 198/367, 860/604 is 1447380.

LCM(17/302, 198/367, 860/604) = 1447380

LCM of 17/302, 198/367, 860/604

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 17/302,198/367,860/604

Given numbers are 17/302,198/367,860/604

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 17,198,860

Least Common Multiple of Numerators i.e. LCM of 17,198,860 is 1447380.

GCF of Denominators means GCF of 302,367,604 as per the given fractions.

GCF of 302,367,604 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,198,860

LCM of Fractions 17/302,198/367,860/604 is 1447380

2 17, 198, 860
17, 99, 430

∴ So the LCM of the given numbers is 2 x 17 x 99 x 430 = 1447380

Least Common Multiple of 17,198,860 with GCF Formula

Least Common Multiple of 17,198,860 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 17,198,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,198,860) = 1

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

GCF(17,198,860) x common factors =1 x 2 = 2

LCM(17,198,860) = ( 17 × 198 × 860 ) / 2

LCM(17,198,860) = 2894760 / 2

LCM(17,198,860) = 1447380


Lets's calculate GCF of 302,367,604

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1447380/1

Therefore the LCM of Fractions 17/302,198/367,860/604 is 1447380

Greatest Common Factor of 302,367,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,367,604 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 302,367,604 . The biggest common factor number is the GCF number.
So the greatest common factor 302,367,604 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 17/302, 198/367, 860/604

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 17/302, 198/367, 860/604?

Answer: LCM of Numerators as per given numbers 17/302, 198/367, 860/604 is

LCM of Numerators i.e. for 17,198,860 is 1447380

GCF of denominators i.e. for 302,367,604 is 1.

Thus, LCM of Fractions is 1447380.Finally, LCM of Fractions for 17/302, 198/367, 860/604 is 1447380.