Least Common Multiple of 36/51, 39/35, 26/44, 33/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/51, 39/35, 26/44, 33/445 quickly i.e. 5148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/51, 39/35, 26/44, 33/445 is 5148.

LCM(36/51, 39/35, 26/44, 33/445) = 5148

LCM of 36/51, 39/35, 26/44, 33/445

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 36/51,39/35,26/44,33/445

Given numbers are 36/51,39/35,26/44,33/445

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 36,39,26,33

Least Common Multiple of Numerators i.e. LCM of 36,39,26,33 is 5148.

GCF of Denominators means GCF of 51,35,44,445 as per the given fractions.

GCF of 51,35,44,445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,39,26,33

LCM of Fractions 36/51,39/35,26/44,33/445 is 5148

2 36, 39, 26, 33
3 18, 39, 13, 33
13 6, 13, 13, 11
6, 1, 1, 11

∴ So the LCM of the given numbers is 2 x 3 x 13 x 6 x 1 x 1 x 11 = 5148

Least Common Multiple of 36,39,26,33 with GCF Formula

Least Common Multiple of 36,39,26,33 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 36,39,26,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,39,26,33) = 1

common factors(in case of two or more numbers have common factors) = 234

GCF(36,39,26,33) x common factors =1 x 234 = 234

LCM(36,39,26,33) = ( 36 × 39 × 26 × 33 ) / 234

LCM(36,39,26,33) = 1204632 / 234

LCM(36,39,26,33) = 5148


Lets's calculate GCF of 51,35,44,445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5148/1

Therefore the LCM of Fractions 36/51,39/35,26/44,33/445 is 5148

Greatest Common Factor of 51,35,44,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,35,44,445 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 51,35,44,445 . The biggest common factor number is the GCF number.
So the greatest common factor 51,35,44,445 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 36/51, 39/35, 26/44, 33/445

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 36/51, 39/35, 26/44, 33/445?

Answer: LCM of Numerators as per given numbers 36/51, 39/35, 26/44, 33/445 is

LCM of Numerators i.e. for 36,39,26,33 is 5148

GCF of denominators i.e. for 51,35,44,445 is 1.

Thus, LCM of Fractions is 5148.Finally, LCM of Fractions for 36/51, 39/35, 26/44, 33/445 is 5148.