Least Common Multiple of 30/23, 449/99, 342/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/23, 449/99, 342/728 quickly i.e. 767790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/23, 449/99, 342/728 is 767790.

LCM(30/23, 449/99, 342/728) = 767790

LCM of 30/23, 449/99, 342/728

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 30/23,449/99,342/728

Given numbers are 30/23,449/99,342/728

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 30,449,342

Least Common Multiple of Numerators i.e. LCM of 30,449,342 is 767790.

GCF of Denominators means GCF of 23,99,728 as per the given fractions.

GCF of 23,99,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,449,342

LCM of Fractions 30/23,449/99,342/728 is 767790

2 30, 449, 342
3 15, 449, 171
5, 449, 57

∴ So the LCM of the given numbers is 2 x 3 x 5 x 449 x 57 = 767790

Least Common Multiple of 30,449,342 with GCF Formula

Least Common Multiple of 30,449,342 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 30,449,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,449,342) = 1

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

GCF(30,449,342) x common factors =1 x 6 = 6

LCM(30,449,342) = ( 30 × 449 × 342 ) / 6

LCM(30,449,342) = 4606740 / 6

LCM(30,449,342) = 767790


Lets's calculate GCF of 23,99,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 767790/1

Therefore the LCM of Fractions 30/23,449/99,342/728 is 767790

Greatest Common Factor of 23,99,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,99,728 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 23,99,728 . The biggest common factor number is the GCF number.
So the greatest common factor 23,99,728 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 30/23, 449/99, 342/728

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 30/23, 449/99, 342/728?

Answer: LCM of Numerators as per given numbers 30/23, 449/99, 342/728 is

LCM of Numerators i.e. for 30,449,342 is 767790

GCF of denominators i.e. for 23,99,728 is 1.

Thus, LCM of Fractions is 767790.Finally, LCM of Fractions for 30/23, 449/99, 342/728 is 767790.