Least Common Multiple of 81/346, 45/412, 723/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/346, 45/412, 723/518 quickly i.e. 97605/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/346, 45/412, 723/518 is 97605/2.

LCM(81/346, 45/412, 723/518) = 97605/2

LCM of 81/346, 45/412, 723/518

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 81/346,45/412,723/518

Given numbers are 81/346,45/412,723/518

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 81,45,723

Least Common Multiple of Numerators i.e. LCM of 81,45,723 is 97605.

GCF of Denominators means GCF of 346,412,518 as per the given fractions.

GCF of 346,412,518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,45,723

LCM of Fractions 81/346,45/412,723/518 is 97605/2

3 81, 45, 723
3 27, 15, 241
9, 5, 241

∴ So the LCM of the given numbers is 3 x 3 x 9 x 5 x 241 = 97605

Least Common Multiple of 81,45,723 with GCF Formula

Least Common Multiple of 81,45,723 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 81,45,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,45,723) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(81,45,723) x common factors =3 x 9 = 27

LCM(81,45,723) = ( 81 × 45 × 723 ) / 27

LCM(81,45,723) = 2635335 / 27

LCM(81,45,723) = 97605


Lets's calculate GCF of 346,412,518

2 346, 412, 518
173, 206, 259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97605/2

Therefore the LCM of Fractions 81/346,45/412,723/518 is 97605/2

Greatest Common Factor of 346,412,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,412,518 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 346,412,518 . The biggest common factor number is the GCF number.
So the greatest common factor 346,412,518 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 81/346, 45/412, 723/518

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 81/346, 45/412, 723/518?

Answer: LCM of Numerators as per given numbers 81/346, 45/412, 723/518 is

LCM of Numerators i.e. for 81,45,723 is 97605

GCF of denominators i.e. for 346,412,518 is 2.

Thus, LCM of Fractions is 97605/2.Finally, LCM of Fractions for 81/346, 45/412, 723/518 is 97605/2.