Least Common Multiple of 1359/723, 5505/4560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1359/723, 5505/4560 quickly i.e. 831255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1359/723, 5505/4560 is 831255.

LCM(1359/723, 5505/4560) = 831255

LCM of 1359/723, 5505/4560

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 1359/723,5505/4560

Given numbers are 1359/723,5505/4560

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 1359,5505

Least Common Multiple of Numerators i.e. LCM of 1359,5505 is 2493765.

GCF of Denominators means GCF of 723,4560 as per the given fractions.

GCF of 723,4560 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1359,5505

LCM of Fractions 1359/723,5505/4560 is 831255

3 1359, 5505
453, 1835

∴ So the LCM of the given numbers is 3 x 453 x 1835 = 2493765

Least Common Multiple of 1359,5505 with GCF Formula

Least Common Multiple of 1359,5505 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 1359,5505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1359,5505) = 3

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

GCF(1359,5505) x common factors =3 x 1 = 3

LCM(1359,5505) = ( 1359 × 5505 ) / 3

LCM(1359,5505) = 7481295 / 3

LCM(1359,5505) = 2493765


Lets's calculate GCF of 723,4560

3 723, 4560
241, 1520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2493765/3

Therefore the LCM of Fractions 1359/723,5505/4560 is 831255

Greatest Common Factor of 723,4560 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,4560 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 4560

List of positive integer factors of 4560 that divides 4560 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,38,40,48,57,60,76,80,95,114,120,152,190,228,240,285,304,380,456,570,760,912,1140,1520,2280,4560

Greatest Common Factor

We found the factors 723,4560 . The biggest common factor number is the GCF number.
So the greatest common factor 723,4560 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 1359/723, 5505/4560

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 1359/723, 5505/4560?

Answer: LCM of Numerators as per given numbers 1359/723, 5505/4560 is

LCM of Numerators i.e. for 1359,5505 is 2493765

GCF of denominators i.e. for 723,4560 is 3.

Thus, LCM of Fractions is 831255.Finally, LCM of Fractions for 1359/723, 5505/4560 is 831255.