Least Common Multiple of 585/52, 1704/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/52, 1704/611 quickly i.e. 25560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/52, 1704/611 is 25560.

LCM(585/52, 1704/611) = 25560

LCM of 585/52, 1704/611

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 585/52,1704/611

Given numbers are 585/52,1704/611

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 585,1704

Least Common Multiple of Numerators i.e. LCM of 585,1704 is 332280.

GCF of Denominators means GCF of 52,611 as per the given fractions.

GCF of 52,611 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,1704

LCM of Fractions 585/52,1704/611 is 25560

3 585, 1704
195, 568

∴ So the LCM of the given numbers is 3 x 195 x 568 = 332280

Least Common Multiple of 585,1704 with GCF Formula

Least Common Multiple of 585,1704 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 585,1704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,1704) = 3

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

GCF(585,1704) x common factors =3 x 1 = 3

LCM(585,1704) = ( 585 × 1704 ) / 3

LCM(585,1704) = 996840 / 3

LCM(585,1704) = 332280


Lets's calculate GCF of 52,611

13 52, 611
4, 47

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332280/13

Therefore the LCM of Fractions 585/52,1704/611 is 25560

Greatest Common Factor of 52,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,611 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Greatest Common Factor

We found the factors 52,611 . The biggest common factor number is the GCF number.
So the greatest common factor 52,611 is 13.


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 585/52, 1704/611

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 585/52, 1704/611?

Answer: LCM of Numerators as per given numbers 585/52, 1704/611 is

LCM of Numerators i.e. for 585,1704 is 332280

GCF of denominators i.e. for 52,611 is 13.

Thus, LCM of Fractions is 25560.Finally, LCM of Fractions for 585/52, 1704/611 is 25560.