Least Common Multiple of 15/30, 165/48, 142/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/30, 165/48, 142/580 quickly i.e. 11715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/30, 165/48, 142/580 is 11715.

LCM(15/30, 165/48, 142/580) = 11715

LCM of 15/30, 165/48, 142/580

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 15/30,165/48,142/580

Given numbers are 15/30,165/48,142/580

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 15,165,142

Least Common Multiple of Numerators i.e. LCM of 15,165,142 is 23430.

GCF of Denominators means GCF of 30,48,580 as per the given fractions.

GCF of 30,48,580 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,165,142

LCM of Fractions 15/30,165/48,142/580 is 11715

3 15, 165, 142
5 5, 55, 142
1, 11, 142

∴ So the LCM of the given numbers is 3 x 5 x 1 x 11 x 142 = 23430

Least Common Multiple of 15,165,142 with GCF Formula

Least Common Multiple of 15,165,142 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 15,165,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,165,142) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,165,142) x common factors =1 x 15 = 15

LCM(15,165,142) = ( 15 × 165 × 142 ) / 15

LCM(15,165,142) = 351450 / 15

LCM(15,165,142) = 23430


Lets's calculate GCF of 30,48,580

2 30, 48, 580
15, 24, 290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23430/2

Therefore the LCM of Fractions 15/30,165/48,142/580 is 11715

Greatest Common Factor of 30,48,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,48,580 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 30,48,580 . The biggest common factor number is the GCF number.
So the greatest common factor 30,48,580 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 15/30, 165/48, 142/580

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 15/30, 165/48, 142/580?

Answer: LCM of Numerators as per given numbers 15/30, 165/48, 142/580 is

LCM of Numerators i.e. for 15,165,142 is 23430

GCF of denominators i.e. for 30,48,580 is 2.

Thus, LCM of Fractions is 11715.Finally, LCM of Fractions for 15/30, 165/48, 142/580 is 11715.