Least Common Multiple of 30/363, 23/263, 347/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/363, 23/263, 347/682 quickly i.e. 239430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/363, 23/263, 347/682 is 239430.

LCM(30/363, 23/263, 347/682) = 239430

LCM of 30/363, 23/263, 347/682

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 30/363,23/263,347/682

Given numbers are 30/363,23/263,347/682

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 30,23,347

Least Common Multiple of Numerators i.e. LCM of 30,23,347 is 239430.

GCF of Denominators means GCF of 363,263,682 as per the given fractions.

GCF of 363,263,682 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,23,347

LCM of Fractions 30/363,23/263,347/682 is 239430

Given numbers has no common factors except 1. So, there LCM is their product i.e 239430

Least Common Multiple of 30,23,347 with GCF Formula

Least Common Multiple of 30,23,347 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 30,23,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,23,347) = 1

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

GCF(30,23,347) x common factors =1 x 1 = 1

LCM(30,23,347) = ( 30 × 23 × 347 ) / 1

LCM(30,23,347) = 239430 / 1

LCM(30,23,347) = 239430


Lets's calculate GCF of 363,263,682

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239430/1

Therefore the LCM of Fractions 30/363,23/263,347/682 is 239430

Greatest Common Factor of 363,263,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,263,682 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 363,263,682 . The biggest common factor number is the GCF number.
So the greatest common factor 363,263,682 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 30/363, 23/263, 347/682

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 30/363, 23/263, 347/682?

Answer: LCM of Numerators as per given numbers 30/363, 23/263, 347/682 is

LCM of Numerators i.e. for 30,23,347 is 239430

GCF of denominators i.e. for 363,263,682 is 1.

Thus, LCM of Fractions is 239430.Finally, LCM of Fractions for 30/363, 23/263, 347/682 is 239430.