Least Common Multiple of 27/782, 2272/5734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/782, 2272/5734 quickly i.e. 30672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/782, 2272/5734 is 30672.

LCM(27/782, 2272/5734) = 30672

LCM of 27/782, 2272/5734

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 27/782,2272/5734

Given numbers are 27/782,2272/5734

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 27,2272

Least Common Multiple of Numerators i.e. LCM of 27,2272 is 61344.

GCF of Denominators means GCF of 782,5734 as per the given fractions.

GCF of 782,5734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,2272

LCM of Fractions 27/782,2272/5734 is 30672

Given numbers has no common factors except 1. So, there LCM is their product i.e 61344

Least Common Multiple of 27,2272 with GCF Formula

Least Common Multiple of 27,2272 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 27,2272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,2272) = 1

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

GCF(27,2272) x common factors =1 x 1 = 1

LCM(27,2272) = ( 27 × 2272 ) / 1

LCM(27,2272) = 61344 / 1

LCM(27,2272) = 61344


Lets's calculate GCF of 782,5734

2 782, 5734
391, 2867

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61344/2

Therefore the LCM of Fractions 27/782,2272/5734 is 30672

Greatest Common Factor of 782,5734 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,5734 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 5734

List of positive integer factors of 5734 that divides 5734 without a remainder.

1,2,47,61,94,122,2867,5734

Greatest Common Factor

We found the factors 782,5734 . The biggest common factor number is the GCF number.
So the greatest common factor 782,5734 is 2.


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 27/782, 2272/5734

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 27/782, 2272/5734?

Answer: LCM of Numerators as per given numbers 27/782, 2272/5734 is

LCM of Numerators i.e. for 27,2272 is 61344

GCF of denominators i.e. for 782,5734 is 2.

Thus, LCM of Fractions is 30672.Finally, LCM of Fractions for 27/782, 2272/5734 is 30672.