Least Common Multiple of 596/74, 315/93, 344/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 596/74, 315/93, 344/450 quickly i.e. 16145640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 596/74, 315/93, 344/450 is 16145640.

LCM(596/74, 315/93, 344/450) = 16145640

LCM of 596/74, 315/93, 344/450

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 596/74,315/93,344/450

Given numbers are 596/74,315/93,344/450

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 596,315,344

Least Common Multiple of Numerators i.e. LCM of 596,315,344 is 16145640.

GCF of Denominators means GCF of 74,93,450 as per the given fractions.

GCF of 74,93,450 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 596,315,344

LCM of Fractions 596/74,315/93,344/450 is 16145640

2 596, 315, 344
2 298, 315, 172
149, 315, 86

∴ So the LCM of the given numbers is 2 x 2 x 149 x 315 x 86 = 16145640

Least Common Multiple of 596,315,344 with GCF Formula

Least Common Multiple of 596,315,344 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 596,315,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,315,344) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(596,315,344) x common factors =1 x 4 = 4

LCM(596,315,344) = ( 596 × 315 × 344 ) / 4

LCM(596,315,344) = 64582560 / 4

LCM(596,315,344) = 16145640


Lets's calculate GCF of 74,93,450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16145640/1

Therefore the LCM of Fractions 596/74,315/93,344/450 is 16145640

Greatest Common Factor of 74,93,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,93,450 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 74,93,450 . The biggest common factor number is the GCF number.
So the greatest common factor 74,93,450 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 596/74, 315/93, 344/450

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 596/74, 315/93, 344/450?

Answer: LCM of Numerators as per given numbers 596/74, 315/93, 344/450 is

LCM of Numerators i.e. for 596,315,344 is 16145640

GCF of denominators i.e. for 74,93,450 is 1.

Thus, LCM of Fractions is 16145640.Finally, LCM of Fractions for 596/74, 315/93, 344/450 is 16145640.