Least Common Multiple of 33/106, 27/366, 791/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/106, 27/366, 791/937 quickly i.e. 234927 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/106, 27/366, 791/937 is 234927.

LCM(33/106, 27/366, 791/937) = 234927

LCM of 33/106, 27/366, 791/937

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 33/106,27/366,791/937

Given numbers are 33/106,27/366,791/937

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 33,27,791

Least Common Multiple of Numerators i.e. LCM of 33,27,791 is 234927.

GCF of Denominators means GCF of 106,366,937 as per the given fractions.

GCF of 106,366,937 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,27,791

LCM of Fractions 33/106,27/366,791/937 is 234927

3 33, 27, 791
11, 9, 791

∴ So the LCM of the given numbers is 3 x 11 x 9 x 791 = 234927

Least Common Multiple of 33,27,791 with GCF Formula

Least Common Multiple of 33,27,791 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 33,27,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,27,791) = 1

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

GCF(33,27,791) x common factors =1 x 3 = 3

LCM(33,27,791) = ( 33 × 27 × 791 ) / 3

LCM(33,27,791) = 704781 / 3

LCM(33,27,791) = 234927


Lets's calculate GCF of 106,366,937

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234927/1

Therefore the LCM of Fractions 33/106,27/366,791/937 is 234927

Greatest Common Factor of 106,366,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,366,937 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors 106,366,937 . The biggest common factor number is the GCF number.
So the greatest common factor 106,366,937 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 33/106, 27/366, 791/937

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 33/106, 27/366, 791/937?

Answer: LCM of Numerators as per given numbers 33/106, 27/366, 791/937 is

LCM of Numerators i.e. for 33,27,791 is 234927

GCF of denominators i.e. for 106,366,937 is 1.

Thus, LCM of Fractions is 234927.Finally, LCM of Fractions for 33/106, 27/366, 791/937 is 234927.