Least Common Multiple of 65/28, 195/51, 133/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/28, 195/51, 133/800 quickly i.e. 25935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/28, 195/51, 133/800 is 25935.

LCM(65/28, 195/51, 133/800) = 25935

LCM of 65/28, 195/51, 133/800

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 65/28,195/51,133/800

Given numbers are 65/28,195/51,133/800

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 65,195,133

Least Common Multiple of Numerators i.e. LCM of 65,195,133 is 25935.

GCF of Denominators means GCF of 28,51,800 as per the given fractions.

GCF of 28,51,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,195,133

LCM of Fractions 65/28,195/51,133/800 is 25935

5 65, 195, 133
13 13, 39, 133
1, 3, 133

∴ So the LCM of the given numbers is 5 x 13 x 1 x 3 x 133 = 25935

Least Common Multiple of 65,195,133 with GCF Formula

Least Common Multiple of 65,195,133 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 65,195,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,195,133) = 1

common factors(in case of two or more numbers have common factors) = 65

GCF(65,195,133) x common factors =1 x 65 = 65

LCM(65,195,133) = ( 65 × 195 × 133 ) / 65

LCM(65,195,133) = 1685775 / 65

LCM(65,195,133) = 25935


Lets's calculate GCF of 28,51,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25935/1

Therefore the LCM of Fractions 65/28,195/51,133/800 is 25935

Greatest Common Factor of 28,51,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,51,800 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 51

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

1,3,17,51

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 28,51,800 . The biggest common factor number is the GCF number.
So the greatest common factor 28,51,800 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 65/28, 195/51, 133/800

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 65/28, 195/51, 133/800?

Answer: LCM of Numerators as per given numbers 65/28, 195/51, 133/800 is

LCM of Numerators i.e. for 65,195,133 is 25935

GCF of denominators i.e. for 28,51,800 is 1.

Thus, LCM of Fractions is 25935.Finally, LCM of Fractions for 65/28, 195/51, 133/800 is 25935.