Least Common Multiple of 15/58, 48/73, 96/72, 40/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/58, 48/73, 96/72, 40/406 quickly i.e. 480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/58, 48/73, 96/72, 40/406 is 480.

LCM(15/58, 48/73, 96/72, 40/406) = 480

LCM of 15/58, 48/73, 96/72, 40/406

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 15/58,48/73,96/72,40/406

Given numbers are 15/58,48/73,96/72,40/406

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 15,48,96,40

Least Common Multiple of Numerators i.e. LCM of 15,48,96,40 is 480.

GCF of Denominators means GCF of 58,73,72,406 as per the given fractions.

GCF of 58,73,72,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,48,96,40

LCM of Fractions 15/58,48/73,96/72,40/406 is 480

2 15, 48, 96, 40
2 15, 24, 48, 20
2 15, 12, 24, 10
2 15, 6, 12, 5
3 15, 3, 6, 5
5 5, 1, 2, 5
1, 1, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 1 x 2 x 1 = 480

Least Common Multiple of 15,48,96,40 with GCF Formula

Least Common Multiple of 15,48,96,40 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 15,48,96,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,48,96,40) = 1

common factors(in case of two or more numbers have common factors) = 5760

GCF(15,48,96,40) x common factors =1 x 5760 = 5760

LCM(15,48,96,40) = ( 15 × 48 × 96 × 40 ) / 5760

LCM(15,48,96,40) = 2764800 / 5760

LCM(15,48,96,40) = 480


Lets's calculate GCF of 58,73,72,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480/1

Therefore the LCM of Fractions 15/58,48/73,96/72,40/406 is 480

Greatest Common Factor of 58,73,72,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,73,72,406 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 58,73,72,406 . The biggest common factor number is the GCF number.
So the greatest common factor 58,73,72,406 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 15/58, 48/73, 96/72, 40/406

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 15/58, 48/73, 96/72, 40/406?

Answer: LCM of Numerators as per given numbers 15/58, 48/73, 96/72, 40/406 is

LCM of Numerators i.e. for 15,48,96,40 is 480

GCF of denominators i.e. for 58,73,72,406 is 1.

Thus, LCM of Fractions is 480.Finally, LCM of Fractions for 15/58, 48/73, 96/72, 40/406 is 480.