Least Common Multiple of 480/495, 359/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/495, 359/517 quickly i.e. 172320/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/495, 359/517 is 172320/11.

LCM(480/495, 359/517) = 172320/11

LCM of 480/495, 359/517

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 480/495,359/517

Given numbers are 480/495,359/517

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 480,359

Least Common Multiple of Numerators i.e. LCM of 480,359 is 172320.

GCF of Denominators means GCF of 495,517 as per the given fractions.

GCF of 495,517 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,359

LCM of Fractions 480/495,359/517 is 172320/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 172320

Least Common Multiple of 480,359 with GCF Formula

Least Common Multiple of 480,359 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 480,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,359) = 1

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

GCF(480,359) x common factors =1 x 1 = 1

LCM(480,359) = ( 480 × 359 ) / 1

LCM(480,359) = 172320 / 1

LCM(480,359) = 172320


Lets's calculate GCF of 495,517

11 495, 517
45, 47

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172320/11

Therefore the LCM of Fractions 480/495,359/517 is 172320/11

Greatest Common Factor of 495,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,517 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 495,517 . The biggest common factor number is the GCF number.
So the greatest common factor 495,517 is 11.


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 480/495, 359/517

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 480/495, 359/517?

Answer: LCM of Numerators as per given numbers 480/495, 359/517 is

LCM of Numerators i.e. for 480,359 is 172320

GCF of denominators i.e. for 495,517 is 11.

Thus, LCM of Fractions is 172320/11.Finally, LCM of Fractions for 480/495, 359/517 is 172320/11.