Least Common Multiple of 306/383, 347/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 306/383, 347/108 quickly i.e. 106182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/383, 347/108 is 106182.

LCM(306/383, 347/108) = 106182

LCM of 306/383, 347/108

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 306/383,347/108

Given numbers are 306/383,347/108

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 306,347

Least Common Multiple of Numerators i.e. LCM of 306,347 is 106182.

GCF of Denominators means GCF of 383,108 as per the given fractions.

GCF of 383,108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,347

LCM of Fractions 306/383,347/108 is 106182

Given numbers has no common factors except 1. So, there LCM is their product i.e 106182

Least Common Multiple of 306,347 with GCF Formula

Least Common Multiple of 306,347 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 306,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,347) = 1

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

GCF(306,347) x common factors =1 x 1 = 1

LCM(306,347) = ( 306 × 347 ) / 1

LCM(306,347) = 106182 / 1

LCM(306,347) = 106182


Lets's calculate GCF of 383,108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106182/1

Therefore the LCM of Fractions 306/383,347/108 is 106182

Greatest Common Factor of 383,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 383,108 By Matching Biggest Common Factor Method

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 383,108 . The biggest common factor number is the GCF number.
So the greatest common factor 383,108 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 306/383, 347/108

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 306/383, 347/108?

Answer: LCM of Numerators as per given numbers 306/383, 347/108 is

LCM of Numerators i.e. for 306,347 is 106182

GCF of denominators i.e. for 383,108 is 1.

Thus, LCM of Fractions is 106182.Finally, LCM of Fractions for 306/383, 347/108 is 106182.