Least Common Multiple of 345/48, 324/8331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/48, 324/8331 quickly i.e. 12420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/48, 324/8331 is 12420.

LCM(345/48, 324/8331) = 12420

LCM of 345/48, 324/8331

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 345/48,324/8331

Given numbers are 345/48,324/8331

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 345,324

Least Common Multiple of Numerators i.e. LCM of 345,324 is 37260.

GCF of Denominators means GCF of 48,8331 as per the given fractions.

GCF of 48,8331 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,324

LCM of Fractions 345/48,324/8331 is 12420

3 345, 324
115, 108

∴ So the LCM of the given numbers is 3 x 115 x 108 = 37260

Least Common Multiple of 345,324 with GCF Formula

Least Common Multiple of 345,324 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 345,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,324) = 3

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

GCF(345,324) x common factors =3 x 1 = 3

LCM(345,324) = ( 345 × 324 ) / 3

LCM(345,324) = 111780 / 3

LCM(345,324) = 37260


Lets's calculate GCF of 48,8331

3 48, 8331
16, 2777

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37260/3

Therefore the LCM of Fractions 345/48,324/8331 is 12420

Greatest Common Factor of 48,8331 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,8331 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 8331

List of positive integer factors of 8331 that divides 8331 without a remainder.

1,3,2777,8331

Greatest Common Factor

We found the factors 48,8331 . The biggest common factor number is the GCF number.
So the greatest common factor 48,8331 is 3.


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 345/48, 324/8331

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 345/48, 324/8331?

Answer: LCM of Numerators as per given numbers 345/48, 324/8331 is

LCM of Numerators i.e. for 345,324 is 37260

GCF of denominators i.e. for 48,8331 is 3.

Thus, LCM of Fractions is 12420.Finally, LCM of Fractions for 345/48, 324/8331 is 12420.