Least Common Multiple of 18/307, 16/572, 298/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/307, 16/572, 298/802 quickly i.e. 21456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/307, 16/572, 298/802 is 21456.

LCM(18/307, 16/572, 298/802) = 21456

LCM of 18/307, 16/572, 298/802

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 18/307,16/572,298/802

Given numbers are 18/307,16/572,298/802

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 18,16,298

Least Common Multiple of Numerators i.e. LCM of 18,16,298 is 21456.

GCF of Denominators means GCF of 307,572,802 as per the given fractions.

GCF of 307,572,802 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,16,298

LCM of Fractions 18/307,16/572,298/802 is 21456

2 18, 16, 298
9, 8, 149

∴ So the LCM of the given numbers is 2 x 9 x 8 x 149 = 21456

Least Common Multiple of 18,16,298 with GCF Formula

Least Common Multiple of 18,16,298 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 18,16,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,16,298) = 2

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

GCF(18,16,298) x common factors =2 x 2 = 4

LCM(18,16,298) = ( 18 × 16 × 298 ) / 4

LCM(18,16,298) = 85824 / 4

LCM(18,16,298) = 21456


Lets's calculate GCF of 307,572,802

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21456/1

Therefore the LCM of Fractions 18/307,16/572,298/802 is 21456

Greatest Common Factor of 307,572,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,572,802 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 307,572,802 . The biggest common factor number is the GCF number.
So the greatest common factor 307,572,802 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 18/307, 16/572, 298/802

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 18/307, 16/572, 298/802?

Answer: LCM of Numerators as per given numbers 18/307, 16/572, 298/802 is

LCM of Numerators i.e. for 18,16,298 is 21456

GCF of denominators i.e. for 307,572,802 is 1.

Thus, LCM of Fractions is 21456.Finally, LCM of Fractions for 18/307, 16/572, 298/802 is 21456.