Least Common Multiple of 65/32, 45/86, 56/59, 36/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/32, 45/86, 56/59, 36/668 quickly i.e. 32760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/32, 45/86, 56/59, 36/668 is 32760.

LCM(65/32, 45/86, 56/59, 36/668) = 32760

LCM of 65/32, 45/86, 56/59, 36/668

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 65/32,45/86,56/59,36/668

Given numbers are 65/32,45/86,56/59,36/668

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 65,45,56,36

Least Common Multiple of Numerators i.e. LCM of 65,45,56,36 is 32760.

GCF of Denominators means GCF of 32,86,59,668 as per the given fractions.

GCF of 32,86,59,668 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,45,56,36

LCM of Fractions 65/32,45/86,56/59,36/668 is 32760

2 65, 45, 56, 36
2 65, 45, 28, 18
3 65, 45, 14, 9
3 65, 15, 14, 3
5 65, 5, 14, 1
13, 1, 14, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 13 x 1 x 14 x 1 = 32760

Least Common Multiple of 65,45,56,36 with GCF Formula

Least Common Multiple of 65,45,56,36 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 65,45,56,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,45,56,36) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(65,45,56,36) x common factors =1 x 180 = 180

LCM(65,45,56,36) = ( 65 × 45 × 56 × 36 ) / 180

LCM(65,45,56,36) = 5896800 / 180

LCM(65,45,56,36) = 32760


Lets's calculate GCF of 32,86,59,668

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32760/1

Therefore the LCM of Fractions 65/32,45/86,56/59,36/668 is 32760

Greatest Common Factor of 32,86,59,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,86,59,668 By Matching Biggest Common Factor Method

Factors of 32

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

1,2,4,8,16,32

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 59

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

1,59

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 32,86,59,668 . The biggest common factor number is the GCF number.
So the greatest common factor 32,86,59,668 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 65/32, 45/86, 56/59, 36/668

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 65/32, 45/86, 56/59, 36/668?

Answer: LCM of Numerators as per given numbers 65/32, 45/86, 56/59, 36/668 is

LCM of Numerators i.e. for 65,45,56,36 is 32760

GCF of denominators i.e. for 32,86,59,668 is 1.

Thus, LCM of Fractions is 32760.Finally, LCM of Fractions for 65/32, 45/86, 56/59, 36/668 is 32760.