Least Common Multiple of 33/14, 265/26, 206/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/14, 265/26, 206/108 quickly i.e. 900735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/14, 265/26, 206/108 is 900735.

LCM(33/14, 265/26, 206/108) = 900735

LCM of 33/14, 265/26, 206/108

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 33/14,265/26,206/108

Given numbers are 33/14,265/26,206/108

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 33,265,206

Least Common Multiple of Numerators i.e. LCM of 33,265,206 is 1801470.

GCF of Denominators means GCF of 14,26,108 as per the given fractions.

GCF of 14,26,108 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,265,206

LCM of Fractions 33/14,265/26,206/108 is 900735

Given numbers has no common factors except 1. So, there LCM is their product i.e 1801470

Least Common Multiple of 33,265,206 with GCF Formula

Least Common Multiple of 33,265,206 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 33,265,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,265,206) = 1

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

GCF(33,265,206) x common factors =1 x 1 = 1

LCM(33,265,206) = ( 33 × 265 × 206 ) / 1

LCM(33,265,206) = 1801470 / 1

LCM(33,265,206) = 1801470


Lets's calculate GCF of 14,26,108

2 14, 26, 108
7, 13, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1801470/2

Therefore the LCM of Fractions 33/14,265/26,206/108 is 900735

Greatest Common Factor of 14,26,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,26,108 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 14,26,108 . The biggest common factor number is the GCF number.
So the greatest common factor 14,26,108 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 33/14, 265/26, 206/108

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 33/14, 265/26, 206/108?

Answer: LCM of Numerators as per given numbers 33/14, 265/26, 206/108 is

LCM of Numerators i.e. for 33,265,206 is 1801470

GCF of denominators i.e. for 14,26,108 is 2.

Thus, LCM of Fractions is 900735.Finally, LCM of Fractions for 33/14, 265/26, 206/108 is 900735.