Least Common Multiple of 10/46, 517/20, 517/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/46, 517/20, 517/480 quickly i.e. 2585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/46, 517/20, 517/480 is 2585.

LCM(10/46, 517/20, 517/480) = 2585

LCM of 10/46, 517/20, 517/480

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 10/46,517/20,517/480

Given numbers are 10/46,517/20,517/480

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 10,517,517

Least Common Multiple of Numerators i.e. LCM of 10,517,517 is 5170.

GCF of Denominators means GCF of 46,20,480 as per the given fractions.

GCF of 46,20,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,517,517

LCM of Fractions 10/46,517/20,517/480 is 2585

11 10, 517, 517
47 10, 47, 47
10, 1, 1

∴ So the LCM of the given numbers is 11 x 47 x 10 x 1 x 1 = 5170

Least Common Multiple of 10,517,517 with GCF Formula

Least Common Multiple of 10,517,517 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 10,517,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,517,517) = 1

common factors(in case of two or more numbers have common factors) = 517

GCF(10,517,517) x common factors =1 x 517 = 517

LCM(10,517,517) = ( 10 × 517 × 517 ) / 517

LCM(10,517,517) = 2672890 / 517

LCM(10,517,517) = 5170


Lets's calculate GCF of 46,20,480

2 46, 20, 480
23, 10, 240

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5170/2

Therefore the LCM of Fractions 10/46,517/20,517/480 is 2585

Greatest Common Factor of 46,20,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,20,480 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

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 46,20,480 . The biggest common factor number is the GCF number.
So the greatest common factor 46,20,480 is 2.


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 10/46, 517/20, 517/480

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 10/46, 517/20, 517/480?

Answer: LCM of Numerators as per given numbers 10/46, 517/20, 517/480 is

LCM of Numerators i.e. for 10,517,517 is 5170

GCF of denominators i.e. for 46,20,480 is 2.

Thus, LCM of Fractions is 2585.Finally, LCM of Fractions for 10/46, 517/20, 517/480 is 2585.