Least Common Multiple of 188/33, 522/82, 116/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/33, 522/82, 116/815 quickly i.e. 49068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/33, 522/82, 116/815 is 49068.

LCM(188/33, 522/82, 116/815) = 49068

LCM of 188/33, 522/82, 116/815

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 188/33,522/82,116/815

Given numbers are 188/33,522/82,116/815

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 188,522,116

Least Common Multiple of Numerators i.e. LCM of 188,522,116 is 49068.

GCF of Denominators means GCF of 33,82,815 as per the given fractions.

GCF of 33,82,815 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,522,116

LCM of Fractions 188/33,522/82,116/815 is 49068

2 188, 522, 116
2 94, 261, 58
29 47, 261, 29
47, 9, 1

∴ So the LCM of the given numbers is 2 x 2 x 29 x 47 x 9 x 1 = 49068

Least Common Multiple of 188,522,116 with GCF Formula

Least Common Multiple of 188,522,116 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 188,522,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,522,116) = 2

common factors(in case of two or more numbers have common factors) = 116

GCF(188,522,116) x common factors =2 x 116 = 232

LCM(188,522,116) = ( 188 × 522 × 116 ) / 232

LCM(188,522,116) = 11383776 / 232

LCM(188,522,116) = 49068


Lets's calculate GCF of 33,82,815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49068/1

Therefore the LCM of Fractions 188/33,522/82,116/815 is 49068

Greatest Common Factor of 33,82,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,82,815 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 33,82,815 . The biggest common factor number is the GCF number.
So the greatest common factor 33,82,815 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 188/33, 522/82, 116/815

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 188/33, 522/82, 116/815?

Answer: LCM of Numerators as per given numbers 188/33, 522/82, 116/815 is

LCM of Numerators i.e. for 188,522,116 is 49068

GCF of denominators i.e. for 33,82,815 is 1.

Thus, LCM of Fractions is 49068.Finally, LCM of Fractions for 188/33, 522/82, 116/815 is 49068.