Least Common Multiple of 873/24, 265/28, 399/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/24, 265/28, 399/746 quickly i.e. 30768885/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/24, 265/28, 399/746 is 30768885/2.

LCM(873/24, 265/28, 399/746) = 30768885/2

LCM of 873/24, 265/28, 399/746

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 873/24,265/28,399/746

Given numbers are 873/24,265/28,399/746

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 873,265,399

Least Common Multiple of Numerators i.e. LCM of 873,265,399 is 30768885.

GCF of Denominators means GCF of 24,28,746 as per the given fractions.

GCF of 24,28,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,265,399

LCM of Fractions 873/24,265/28,399/746 is 30768885/2

3 873, 265, 399
291, 265, 133

∴ So the LCM of the given numbers is 3 x 291 x 265 x 133 = 30768885

Least Common Multiple of 873,265,399 with GCF Formula

Least Common Multiple of 873,265,399 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 873,265,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,265,399) = 1

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

GCF(873,265,399) x common factors =1 x 3 = 3

LCM(873,265,399) = ( 873 × 265 × 399 ) / 3

LCM(873,265,399) = 92306655 / 3

LCM(873,265,399) = 30768885


Lets's calculate GCF of 24,28,746

2 24, 28, 746
12, 14, 373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30768885/2

Therefore the LCM of Fractions 873/24,265/28,399/746 is 30768885/2

Greatest Common Factor of 24,28,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,28,746 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 24,28,746 . The biggest common factor number is the GCF number.
So the greatest common factor 24,28,746 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 873/24, 265/28, 399/746

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 873/24, 265/28, 399/746?

Answer: LCM of Numerators as per given numbers 873/24, 265/28, 399/746 is

LCM of Numerators i.e. for 873,265,399 is 30768885

GCF of denominators i.e. for 24,28,746 is 2.

Thus, LCM of Fractions is 30768885/2.Finally, LCM of Fractions for 873/24, 265/28, 399/746 is 30768885/2.