Least Common Multiple of 825/576, 5493/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/576, 5493/705 quickly i.e. 503525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/576, 5493/705 is 503525.

LCM(825/576, 5493/705) = 503525

LCM of 825/576, 5493/705

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 825/576,5493/705

Given numbers are 825/576,5493/705

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 825,5493

Least Common Multiple of Numerators i.e. LCM of 825,5493 is 1510575.

GCF of Denominators means GCF of 576,705 as per the given fractions.

GCF of 576,705 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,5493

LCM of Fractions 825/576,5493/705 is 503525

3 825, 5493
275, 1831

∴ So the LCM of the given numbers is 3 x 275 x 1831 = 1510575

Least Common Multiple of 825,5493 with GCF Formula

Least Common Multiple of 825,5493 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 825,5493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,5493) = 3

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

GCF(825,5493) x common factors =3 x 1 = 3

LCM(825,5493) = ( 825 × 5493 ) / 3

LCM(825,5493) = 4531725 / 3

LCM(825,5493) = 1510575


Lets's calculate GCF of 576,705

3 576, 705
192, 235

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1510575/3

Therefore the LCM of Fractions 825/576,5493/705 is 503525

Greatest Common Factor of 576,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,705 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 705

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

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

Greatest Common Factor

We found the factors 576,705 . The biggest common factor number is the GCF number.
So the greatest common factor 576,705 is 3.


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 825/576, 5493/705

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 825/576, 5493/705?

Answer: LCM of Numerators as per given numbers 825/576, 5493/705 is

LCM of Numerators i.e. for 825,5493 is 1510575

GCF of denominators i.e. for 576,705 is 3.

Thus, LCM of Fractions is 503525.Finally, LCM of Fractions for 825/576, 5493/705 is 503525.