Least Common Multiple of 15/58, 330/82, 648/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/58, 330/82, 648/550 quickly i.e. 17820 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, 330/82, 648/550 is 17820.

LCM(15/58, 330/82, 648/550) = 17820

LCM of 15/58, 330/82, 648/550

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 15/58,330/82,648/550

Given numbers are 15/58,330/82,648/550

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 15,330,648

Least Common Multiple of Numerators i.e. LCM of 15,330,648 is 35640.

GCF of Denominators means GCF of 58,82,550 as per the given fractions.

GCF of 58,82,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,330,648

LCM of Fractions 15/58,330/82,648/550 is 17820

2 15, 330, 648
3 15, 165, 324
5 5, 55, 108
1, 11, 108

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 11 x 108 = 35640

Least Common Multiple of 15,330,648 with GCF Formula

Least Common Multiple of 15,330,648 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 15,330,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,330,648) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(15,330,648) x common factors =3 x 30 = 90

LCM(15,330,648) = ( 15 × 330 × 648 ) / 90

LCM(15,330,648) = 3207600 / 90

LCM(15,330,648) = 35640


Lets's calculate GCF of 58,82,550

2 58, 82, 550
29, 41, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35640/2

Therefore the LCM of Fractions 15/58,330/82,648/550 is 17820

Greatest Common Factor of 58,82,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,82,550 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 58,82,550 . The biggest common factor number is the GCF number.
So the greatest common factor 58,82,550 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 15/58, 330/82, 648/550

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, 330/82, 648/550?

Answer: LCM of Numerators as per given numbers 15/58, 330/82, 648/550 is

LCM of Numerators i.e. for 15,330,648 is 35640

GCF of denominators i.e. for 58,82,550 is 2.

Thus, LCM of Fractions is 17820.Finally, LCM of Fractions for 15/58, 330/82, 648/550 is 17820.