Least Common Multiple of 763/17, 405/20, 484/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/17, 405/20, 484/480 quickly i.e. 149563260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/17, 405/20, 484/480 is 149563260.

LCM(763/17, 405/20, 484/480) = 149563260

LCM of 763/17, 405/20, 484/480

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 763/17,405/20,484/480

Given numbers are 763/17,405/20,484/480

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 763,405,484

Least Common Multiple of Numerators i.e. LCM of 763,405,484 is 149563260.

GCF of Denominators means GCF of 17,20,480 as per the given fractions.

GCF of 17,20,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,405,484

LCM of Fractions 763/17,405/20,484/480 is 149563260

Given numbers has no common factors except 1. So, there LCM is their product i.e 149563260

Least Common Multiple of 763,405,484 with GCF Formula

Least Common Multiple of 763,405,484 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 763,405,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,405,484) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(763,405,484) x common factors =1 x 1 = 1

LCM(763,405,484) = ( 763 × 405 × 484 ) / 1

LCM(763,405,484) = 149563260 / 1

LCM(763,405,484) = 149563260


Lets's calculate GCF of 17,20,480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149563260/1

Therefore the LCM of Fractions 763/17,405/20,484/480 is 149563260

Greatest Common Factor of 17,20,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,20,480 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 17,20,480 . The biggest common factor number is the GCF number.
So the greatest common factor 17,20,480 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 763/17, 405/20, 484/480

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 763/17, 405/20, 484/480?

Answer: LCM of Numerators as per given numbers 763/17, 405/20, 484/480 is

LCM of Numerators i.e. for 763,405,484 is 149563260

GCF of denominators i.e. for 17,20,480 is 1.

Thus, LCM of Fractions is 149563260.Finally, LCM of Fractions for 763/17, 405/20, 484/480 is 149563260.