Least Common Multiple of 30/993, 31/661, 111/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/993, 31/661, 111/289 quickly i.e. 34410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/993, 31/661, 111/289 is 34410.

LCM(30/993, 31/661, 111/289) = 34410

LCM of 30/993, 31/661, 111/289

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 30/993,31/661,111/289

Given numbers are 30/993,31/661,111/289

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 30,31,111

Least Common Multiple of Numerators i.e. LCM of 30,31,111 is 34410.

GCF of Denominators means GCF of 993,661,289 as per the given fractions.

GCF of 993,661,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,31,111

LCM of Fractions 30/993,31/661,111/289 is 34410

3 30, 31, 111
10, 31, 37

∴ So the LCM of the given numbers is 3 x 10 x 31 x 37 = 34410

Least Common Multiple of 30,31,111 with GCF Formula

Least Common Multiple of 30,31,111 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 30,31,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,31,111) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(30,31,111) x common factors =1 x 3 = 3

LCM(30,31,111) = ( 30 × 31 × 111 ) / 3

LCM(30,31,111) = 103230 / 3

LCM(30,31,111) = 34410


Lets's calculate GCF of 993,661,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34410/1

Therefore the LCM of Fractions 30/993,31/661,111/289 is 34410

Greatest Common Factor of 993,661,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,661,289 By Matching Biggest Common Factor Method

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 993,661,289 . The biggest common factor number is the GCF number.
So the greatest common factor 993,661,289 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 30/993, 31/661, 111/289

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 30/993, 31/661, 111/289?

Answer: LCM of Numerators as per given numbers 30/993, 31/661, 111/289 is

LCM of Numerators i.e. for 30,31,111 is 34410

GCF of denominators i.e. for 993,661,289 is 1.

Thus, LCM of Fractions is 34410.Finally, LCM of Fractions for 30/993, 31/661, 111/289 is 34410.