Least Common Multiple of 318/321, 787/146, 193/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/321, 787/146, 193/322 quickly i.e. 48301338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/321, 787/146, 193/322 is 48301338.

LCM(318/321, 787/146, 193/322) = 48301338

LCM of 318/321, 787/146, 193/322

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 318/321,787/146,193/322

Given numbers are 318/321,787/146,193/322

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 318,787,193

Least Common Multiple of Numerators i.e. LCM of 318,787,193 is 48301338.

GCF of Denominators means GCF of 321,146,322 as per the given fractions.

GCF of 321,146,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,787,193

LCM of Fractions 318/321,787/146,193/322 is 48301338

Given numbers has no common factors except 1. So, there LCM is their product i.e 48301338

Least Common Multiple of 318,787,193 with GCF Formula

Least Common Multiple of 318,787,193 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 318,787,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,787,193) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(318,787,193) x common factors =1 x 1 = 1

LCM(318,787,193) = ( 318 × 787 × 193 ) / 1

LCM(318,787,193) = 48301338 / 1

LCM(318,787,193) = 48301338


Lets's calculate GCF of 321,146,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48301338/1

Therefore the LCM of Fractions 318/321,787/146,193/322 is 48301338

Greatest Common Factor of 321,146,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,146,322 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 321,146,322 . The biggest common factor number is the GCF number.
So the greatest common factor 321,146,322 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 318/321, 787/146, 193/322

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 318/321, 787/146, 193/322?

Answer: LCM of Numerators as per given numbers 318/321, 787/146, 193/322 is

LCM of Numerators i.e. for 318,787,193 is 48301338

GCF of denominators i.e. for 321,146,322 is 1.

Thus, LCM of Fractions is 48301338.Finally, LCM of Fractions for 318/321, 787/146, 193/322 is 48301338.