Least Common Multiple of 585/99, 705/1621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/99, 705/1621 quickly i.e. 27495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/99, 705/1621 is 27495.

LCM(585/99, 705/1621) = 27495

LCM of 585/99, 705/1621

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 585/99,705/1621

Given numbers are 585/99,705/1621

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 585,705

Least Common Multiple of Numerators i.e. LCM of 585,705 is 27495.

GCF of Denominators means GCF of 99,1621 as per the given fractions.

GCF of 99,1621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,705

LCM of Fractions 585/99,705/1621 is 27495

3 585, 705
5 195, 235
39, 47

∴ So the LCM of the given numbers is 3 x 5 x 39 x 47 = 27495

Least Common Multiple of 585,705 with GCF Formula

Least Common Multiple of 585,705 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 585,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,705) = 15

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

GCF(585,705) x common factors =15 x 1 = 15

LCM(585,705) = ( 585 × 705 ) / 15

LCM(585,705) = 412425 / 15

LCM(585,705) = 27495


Lets's calculate GCF of 99,1621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27495/1

Therefore the LCM of Fractions 585/99,705/1621 is 27495

Greatest Common Factor of 99,1621 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,1621 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 1621

List of positive integer factors of 1621 that divides 1621 without a remainder.

1,1621

Greatest Common Factor

We found the factors 99,1621 . The biggest common factor number is the GCF number.
So the greatest common factor 99,1621 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 585/99, 705/1621

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 585/99, 705/1621?

Answer: LCM of Numerators as per given numbers 585/99, 705/1621 is

LCM of Numerators i.e. for 585,705 is 27495

GCF of denominators i.e. for 99,1621 is 1.

Thus, LCM of Fractions is 27495.Finally, LCM of Fractions for 585/99, 705/1621 is 27495.