Least Common Multiple of 484/517, 8615/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 484/517, 8615/144 quickly i.e. 4169660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/517, 8615/144 is 4169660.

LCM(484/517, 8615/144) = 4169660

LCM of 484/517, 8615/144

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 484/517,8615/144

Given numbers are 484/517,8615/144

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 484,8615

Least Common Multiple of Numerators i.e. LCM of 484,8615 is 4169660.

GCF of Denominators means GCF of 517,144 as per the given fractions.

GCF of 517,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,8615

LCM of Fractions 484/517,8615/144 is 4169660

Given numbers has no common factors except 1. So, there LCM is their product i.e 4169660

Least Common Multiple of 484,8615 with GCF Formula

Least Common Multiple of 484,8615 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 484,8615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,8615) = 1

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

GCF(484,8615) x common factors =1 x 1 = 1

LCM(484,8615) = ( 484 × 8615 ) / 1

LCM(484,8615) = 4169660 / 1

LCM(484,8615) = 4169660


Lets's calculate GCF of 517,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4169660/1

Therefore the LCM of Fractions 484/517,8615/144 is 4169660

Greatest Common Factor of 517,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,144 By Matching Biggest Common Factor Method

Factors of 517

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

1,11,47,517

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 517,144 . The biggest common factor number is the GCF number.
So the greatest common factor 517,144 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 484/517, 8615/144

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 484/517, 8615/144?

Answer: LCM of Numerators as per given numbers 484/517, 8615/144 is

LCM of Numerators i.e. for 484,8615 is 4169660

GCF of denominators i.e. for 517,144 is 1.

Thus, LCM of Fractions is 4169660.Finally, LCM of Fractions for 484/517, 8615/144 is 4169660.