Least Common Multiple of 93/580, 15/486, 349/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/580, 15/486, 349/417 quickly i.e. 162285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/580, 15/486, 349/417 is 162285.

LCM(93/580, 15/486, 349/417) = 162285

LCM of 93/580, 15/486, 349/417

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 93/580,15/486,349/417

Given numbers are 93/580,15/486,349/417

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 93,15,349

Least Common Multiple of Numerators i.e. LCM of 93,15,349 is 162285.

GCF of Denominators means GCF of 580,486,417 as per the given fractions.

GCF of 580,486,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,15,349

LCM of Fractions 93/580,15/486,349/417 is 162285

3 93, 15, 349
31, 5, 349

∴ So the LCM of the given numbers is 3 x 31 x 5 x 349 = 162285

Least Common Multiple of 93,15,349 with GCF Formula

Least Common Multiple of 93,15,349 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 93,15,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,15,349) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,15,349) x common factors =1 x 3 = 3

LCM(93,15,349) = ( 93 × 15 × 349 ) / 3

LCM(93,15,349) = 486855 / 3

LCM(93,15,349) = 162285


Lets's calculate GCF of 580,486,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162285/1

Therefore the LCM of Fractions 93/580,15/486,349/417 is 162285

Greatest Common Factor of 580,486,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,486,417 By Matching Biggest Common Factor Method

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

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 580,486,417 . The biggest common factor number is the GCF number.
So the greatest common factor 580,486,417 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 93/580, 15/486, 349/417

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 93/580, 15/486, 349/417?

Answer: LCM of Numerators as per given numbers 93/580, 15/486, 349/417 is

LCM of Numerators i.e. for 93,15,349 is 162285

GCF of denominators i.e. for 580,486,417 is 1.

Thus, LCM of Fractions is 162285.Finally, LCM of Fractions for 93/580, 15/486, 349/417 is 162285.