Least Common Multiple of 74/246, 368/360, 589/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/246, 368/360, 589/817 quickly i.e. 8019824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/246, 368/360, 589/817 is 8019824.

LCM(74/246, 368/360, 589/817) = 8019824

LCM of 74/246, 368/360, 589/817

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 74/246,368/360,589/817

Given numbers are 74/246,368/360,589/817

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 74,368,589

Least Common Multiple of Numerators i.e. LCM of 74,368,589 is 8019824.

GCF of Denominators means GCF of 246,360,817 as per the given fractions.

GCF of 246,360,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,368,589

LCM of Fractions 74/246,368/360,589/817 is 8019824

2 74, 368, 589
37, 184, 589

∴ So the LCM of the given numbers is 2 x 37 x 184 x 589 = 8019824

Least Common Multiple of 74,368,589 with GCF Formula

Least Common Multiple of 74,368,589 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 74,368,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,368,589) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,368,589) x common factors =1 x 2 = 2

LCM(74,368,589) = ( 74 × 368 × 589 ) / 2

LCM(74,368,589) = 16039648 / 2

LCM(74,368,589) = 8019824


Lets's calculate GCF of 246,360,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8019824/1

Therefore the LCM of Fractions 74/246,368/360,589/817 is 8019824

Greatest Common Factor of 246,360,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,360,817 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 246,360,817 . The biggest common factor number is the GCF number.
So the greatest common factor 246,360,817 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 74/246, 368/360, 589/817

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 74/246, 368/360, 589/817?

Answer: LCM of Numerators as per given numbers 74/246, 368/360, 589/817 is

LCM of Numerators i.e. for 74,368,589 is 8019824

GCF of denominators i.e. for 246,360,817 is 1.

Thus, LCM of Fractions is 8019824.Finally, LCM of Fractions for 74/246, 368/360, 589/817 is 8019824.