Least Common Multiple of 65/783, 201/447, 208/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/783, 201/447, 208/760 quickly i.e. 209040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/783, 201/447, 208/760 is 209040.

LCM(65/783, 201/447, 208/760) = 209040

LCM of 65/783, 201/447, 208/760

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 65/783,201/447,208/760

Given numbers are 65/783,201/447,208/760

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 65,201,208

Least Common Multiple of Numerators i.e. LCM of 65,201,208 is 209040.

GCF of Denominators means GCF of 783,447,760 as per the given fractions.

GCF of 783,447,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,201,208

LCM of Fractions 65/783,201/447,208/760 is 209040

13 65, 201, 208
5, 201, 16

∴ So the LCM of the given numbers is 13 x 5 x 201 x 16 = 209040

Least Common Multiple of 65,201,208 with GCF Formula

Least Common Multiple of 65,201,208 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 65,201,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,201,208) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(65,201,208) x common factors =1 x 13 = 13

LCM(65,201,208) = ( 65 × 201 × 208 ) / 13

LCM(65,201,208) = 2717520 / 13

LCM(65,201,208) = 209040


Lets's calculate GCF of 783,447,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209040/1

Therefore the LCM of Fractions 65/783,201/447,208/760 is 209040

Greatest Common Factor of 783,447,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,447,760 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 783,447,760 . The biggest common factor number is the GCF number.
So the greatest common factor 783,447,760 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 65/783, 201/447, 208/760

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 65/783, 201/447, 208/760?

Answer: LCM of Numerators as per given numbers 65/783, 201/447, 208/760 is

LCM of Numerators i.e. for 65,201,208 is 209040

GCF of denominators i.e. for 783,447,760 is 1.

Thus, LCM of Fractions is 209040.Finally, LCM of Fractions for 65/783, 201/447, 208/760 is 209040.