Least Common Multiple of 72/703, 79/595, 582/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/703, 79/595, 582/565 quickly i.e. 551736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/703, 79/595, 582/565 is 551736.

LCM(72/703, 79/595, 582/565) = 551736

LCM of 72/703, 79/595, 582/565

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 72/703,79/595,582/565

Given numbers are 72/703,79/595,582/565

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 72,79,582

Least Common Multiple of Numerators i.e. LCM of 72,79,582 is 551736.

GCF of Denominators means GCF of 703,595,565 as per the given fractions.

GCF of 703,595,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,79,582

LCM of Fractions 72/703,79/595,582/565 is 551736

2 72, 79, 582
3 36, 79, 291
12, 79, 97

∴ So the LCM of the given numbers is 2 x 3 x 12 x 79 x 97 = 551736

Least Common Multiple of 72,79,582 with GCF Formula

Least Common Multiple of 72,79,582 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 72,79,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,79,582) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,79,582) x common factors =1 x 6 = 6

LCM(72,79,582) = ( 72 × 79 × 582 ) / 6

LCM(72,79,582) = 3310416 / 6

LCM(72,79,582) = 551736


Lets's calculate GCF of 703,595,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 551736/1

Therefore the LCM of Fractions 72/703,79/595,582/565 is 551736

Greatest Common Factor of 703,595,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,595,565 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 703,595,565 . The biggest common factor number is the GCF number.
So the greatest common factor 703,595,565 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 72/703, 79/595, 582/565

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 72/703, 79/595, 582/565?

Answer: LCM of Numerators as per given numbers 72/703, 79/595, 582/565 is

LCM of Numerators i.e. for 72,79,582 is 551736

GCF of denominators i.e. for 703,595,565 is 1.

Thus, LCM of Fractions is 551736.Finally, LCM of Fractions for 72/703, 79/595, 582/565 is 551736.