Least Common Multiple of 83/30, 84/288, 391/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/30, 84/288, 391/400 quickly i.e. 1363026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/30, 84/288, 391/400 is 1363026.

LCM(83/30, 84/288, 391/400) = 1363026

LCM of 83/30, 84/288, 391/400

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 83/30,84/288,391/400

Given numbers are 83/30,84/288,391/400

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 83,84,391

Least Common Multiple of Numerators i.e. LCM of 83,84,391 is 2726052.

GCF of Denominators means GCF of 30,288,400 as per the given fractions.

GCF of 30,288,400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,84,391

LCM of Fractions 83/30,84/288,391/400 is 1363026

Given numbers has no common factors except 1. So, there LCM is their product i.e 2726052

Least Common Multiple of 83,84,391 with GCF Formula

Least Common Multiple of 83,84,391 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 83,84,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,84,391) = 1

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

GCF(83,84,391) x common factors =1 x 1 = 1

LCM(83,84,391) = ( 83 × 84 × 391 ) / 1

LCM(83,84,391) = 2726052 / 1

LCM(83,84,391) = 2726052


Lets's calculate GCF of 30,288,400

2 30, 288, 400
15, 144, 200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2726052/2

Therefore the LCM of Fractions 83/30,84/288,391/400 is 1363026

Greatest Common Factor of 30,288,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,288,400 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 30,288,400 . The biggest common factor number is the GCF number.
So the greatest common factor 30,288,400 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 83/30, 84/288, 391/400

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 83/30, 84/288, 391/400?

Answer: LCM of Numerators as per given numbers 83/30, 84/288, 391/400 is

LCM of Numerators i.e. for 83,84,391 is 2726052

GCF of denominators i.e. for 30,288,400 is 2.

Thus, LCM of Fractions is 1363026.Finally, LCM of Fractions for 83/30, 84/288, 391/400 is 1363026.