Least Common Multiple of 727/24, 614/15, 647/551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/24, 614/15, 647/551 quickly i.e. 288806566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/24, 614/15, 647/551 is 288806566.

LCM(727/24, 614/15, 647/551) = 288806566

LCM of 727/24, 614/15, 647/551

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 727/24,614/15,647/551

Given numbers are 727/24,614/15,647/551

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 727,614,647

Least Common Multiple of Numerators i.e. LCM of 727,614,647 is 288806566.

GCF of Denominators means GCF of 24,15,551 as per the given fractions.

GCF of 24,15,551 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,614,647

LCM of Fractions 727/24,614/15,647/551 is 288806566

Given numbers has no common factors except 1. So, there LCM is their product i.e 288806566

Least Common Multiple of 727,614,647 with GCF Formula

Least Common Multiple of 727,614,647 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 727,614,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,614,647) = 1

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

GCF(727,614,647) x common factors =1 x 1 = 1

LCM(727,614,647) = ( 727 × 614 × 647 ) / 1

LCM(727,614,647) = 288806566 / 1

LCM(727,614,647) = 288806566


Lets's calculate GCF of 24,15,551

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288806566/1

Therefore the LCM of Fractions 727/24,614/15,647/551 is 288806566

Greatest Common Factor of 24,15,551 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,15,551 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Greatest Common Factor

We found the factors 24,15,551 . The biggest common factor number is the GCF number.
So the greatest common factor 24,15,551 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 727/24, 614/15, 647/551

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 727/24, 614/15, 647/551?

Answer: LCM of Numerators as per given numbers 727/24, 614/15, 647/551 is

LCM of Numerators i.e. for 727,614,647 is 288806566

GCF of denominators i.e. for 24,15,551 is 1.

Thus, LCM of Fractions is 288806566.Finally, LCM of Fractions for 727/24, 614/15, 647/551 is 288806566.