Least Common Multiple of 487/705, 8584/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 487/705, 8584/555 quickly i.e. 4180408/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 487/705, 8584/555 is 4180408/15.

LCM(487/705, 8584/555) = 4180408/15

LCM of 487/705, 8584/555

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 487/705,8584/555

Given numbers are 487/705,8584/555

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 487,8584

Least Common Multiple of Numerators i.e. LCM of 487,8584 is 4180408.

GCF of Denominators means GCF of 705,555 as per the given fractions.

GCF of 705,555 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 487,8584

LCM of Fractions 487/705,8584/555 is 4180408/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 4180408

Least Common Multiple of 487,8584 with GCF Formula

Least Common Multiple of 487,8584 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 487,8584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,8584) = 1

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

GCF(487,8584) x common factors =1 x 1 = 1

LCM(487,8584) = ( 487 × 8584 ) / 1

LCM(487,8584) = 4180408 / 1

LCM(487,8584) = 4180408


Lets's calculate GCF of 705,555

3 705, 555
5 235, 185
47, 37

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4180408/15

Therefore the LCM of Fractions 487/705,8584/555 is 4180408/15

Greatest Common Factor of 705,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,555 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 705,555 . The biggest common factor number is the GCF number.
So the greatest common factor 705,555 is 15.


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 487/705, 8584/555

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 487/705, 8584/555?

Answer: LCM of Numerators as per given numbers 487/705, 8584/555 is

LCM of Numerators i.e. for 487,8584 is 4180408

GCF of denominators i.e. for 705,555 is 15.

Thus, LCM of Fractions is 4180408/15.Finally, LCM of Fractions for 487/705, 8584/555 is 4180408/15.