Least Common Multiple of 33/59, 65/91, 52/32, 55/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/59, 65/91, 52/32, 55/136 quickly i.e. 8580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/59, 65/91, 52/32, 55/136 is 8580.

LCM(33/59, 65/91, 52/32, 55/136) = 8580

LCM of 33/59, 65/91, 52/32, 55/136

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 33/59,65/91,52/32,55/136

Given numbers are 33/59,65/91,52/32,55/136

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 33,65,52,55

Least Common Multiple of Numerators i.e. LCM of 33,65,52,55 is 8580.

GCF of Denominators means GCF of 59,91,32,136 as per the given fractions.

GCF of 59,91,32,136 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,65,52,55

LCM of Fractions 33/59,65/91,52/32,55/136 is 8580

5 33, 65, 52, 55
11 33, 13, 52, 11
13 3, 13, 52, 1
3, 1, 4, 1

∴ So the LCM of the given numbers is 5 x 11 x 13 x 3 x 1 x 4 x 1 = 8580

Least Common Multiple of 33,65,52,55 with GCF Formula

Least Common Multiple of 33,65,52,55 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 33,65,52,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,65,52,55) = 1

common factors(in case of two or more numbers have common factors) = 715

GCF(33,65,52,55) x common factors =1 x 715 = 715

LCM(33,65,52,55) = ( 33 × 65 × 52 × 55 ) / 715

LCM(33,65,52,55) = 6134700 / 715

LCM(33,65,52,55) = 8580


Lets's calculate GCF of 59,91,32,136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8580/1

Therefore the LCM of Fractions 33/59,65/91,52/32,55/136 is 8580

Greatest Common Factor of 59,91,32,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,91,32,136 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 59,91,32,136 . The biggest common factor number is the GCF number.
So the greatest common factor 59,91,32,136 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/59, 65/91, 52/32, 55/136

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 33/59, 65/91, 52/32, 55/136?

Answer: LCM of Numerators as per given numbers 33/59, 65/91, 52/32, 55/136 is

LCM of Numerators i.e. for 33,65,52,55 is 8580

GCF of denominators i.e. for 59,91,32,136 is 1.

Thus, LCM of Fractions is 8580.Finally, LCM of Fractions for 33/59, 65/91, 52/32, 55/136 is 8580.