Least Common Multiple of 723/92, 519/26, 513/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/92, 519/26, 513/297 quickly i.e. 21388509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/92, 519/26, 513/297 is 21388509.

LCM(723/92, 519/26, 513/297) = 21388509

LCM of 723/92, 519/26, 513/297

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 723/92,519/26,513/297

Given numbers are 723/92,519/26,513/297

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 723,519,513

Least Common Multiple of Numerators i.e. LCM of 723,519,513 is 21388509.

GCF of Denominators means GCF of 92,26,297 as per the given fractions.

GCF of 92,26,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,519,513

LCM of Fractions 723/92,519/26,513/297 is 21388509

3 723, 519, 513
241, 173, 171

∴ So the LCM of the given numbers is 3 x 241 x 173 x 171 = 21388509

Least Common Multiple of 723,519,513 with GCF Formula

Least Common Multiple of 723,519,513 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 723,519,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,519,513) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(723,519,513) x common factors =3 x 3 = 9

LCM(723,519,513) = ( 723 × 519 × 513 ) / 9

LCM(723,519,513) = 192496581 / 9

LCM(723,519,513) = 21388509


Lets's calculate GCF of 92,26,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21388509/1

Therefore the LCM of Fractions 723/92,519/26,513/297 is 21388509

Greatest Common Factor of 92,26,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,26,297 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 92,26,297 . The biggest common factor number is the GCF number.
So the greatest common factor 92,26,297 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 723/92, 519/26, 513/297

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 723/92, 519/26, 513/297?

Answer: LCM of Numerators as per given numbers 723/92, 519/26, 513/297 is

LCM of Numerators i.e. for 723,519,513 is 21388509

GCF of denominators i.e. for 92,26,297 is 1.

Thus, LCM of Fractions is 21388509.Finally, LCM of Fractions for 723/92, 519/26, 513/297 is 21388509.