Least Common Multiple of 310/18, 301/9332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/18, 301/9332 quickly i.e. 46655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/18, 301/9332 is 46655.

LCM(310/18, 301/9332) = 46655

LCM of 310/18, 301/9332

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 310/18,301/9332

Given numbers are 310/18,301/9332

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 310,301

Least Common Multiple of Numerators i.e. LCM of 310,301 is 93310.

GCF of Denominators means GCF of 18,9332 as per the given fractions.

GCF of 18,9332 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,301

LCM of Fractions 310/18,301/9332 is 46655

Given numbers has no common factors except 1. So, there LCM is their product i.e 93310

Least Common Multiple of 310,301 with GCF Formula

Least Common Multiple of 310,301 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 310,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,301) = 1

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

GCF(310,301) x common factors =1 x 1 = 1

LCM(310,301) = ( 310 × 301 ) / 1

LCM(310,301) = 93310 / 1

LCM(310,301) = 93310


Lets's calculate GCF of 18,9332

2 18, 9332
9, 4666

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93310/2

Therefore the LCM of Fractions 310/18,301/9332 is 46655

Greatest Common Factor of 18,9332 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,9332 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 9332

List of positive integer factors of 9332 that divides 9332 without a remainder.

1,2,4,2333,4666,9332

Greatest Common Factor

We found the factors 18,9332 . The biggest common factor number is the GCF number.
So the greatest common factor 18,9332 is 2.


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 310/18, 301/9332

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 310/18, 301/9332?

Answer: LCM of Numerators as per given numbers 310/18, 301/9332 is

LCM of Numerators i.e. for 310,301 is 93310

GCF of denominators i.e. for 18,9332 is 2.

Thus, LCM of Fractions is 46655.Finally, LCM of Fractions for 310/18, 301/9332 is 46655.