Least Common Multiple of 46/390, 291/272, 871/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/390, 291/272, 871/493 quickly i.e. 11659206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/390, 291/272, 871/493 is 11659206.

LCM(46/390, 291/272, 871/493) = 11659206

LCM of 46/390, 291/272, 871/493

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 46/390,291/272,871/493

Given numbers are 46/390,291/272,871/493

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 46,291,871

Least Common Multiple of Numerators i.e. LCM of 46,291,871 is 11659206.

GCF of Denominators means GCF of 390,272,493 as per the given fractions.

GCF of 390,272,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,291,871

LCM of Fractions 46/390,291/272,871/493 is 11659206

Given numbers has no common factors except 1. So, there LCM is their product i.e 11659206

Least Common Multiple of 46,291,871 with GCF Formula

Least Common Multiple of 46,291,871 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 46,291,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,291,871) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(46,291,871) x common factors =1 x 1 = 1

LCM(46,291,871) = ( 46 × 291 × 871 ) / 1

LCM(46,291,871) = 11659206 / 1

LCM(46,291,871) = 11659206


Lets's calculate GCF of 390,272,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11659206/1

Therefore the LCM of Fractions 46/390,291/272,871/493 is 11659206

Greatest Common Factor of 390,272,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,272,493 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 390,272,493 . The biggest common factor number is the GCF number.
So the greatest common factor 390,272,493 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 46/390, 291/272, 871/493

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 46/390, 291/272, 871/493?

Answer: LCM of Numerators as per given numbers 46/390, 291/272, 871/493 is

LCM of Numerators i.e. for 46,291,871 is 11659206

GCF of denominators i.e. for 390,272,493 is 1.

Thus, LCM of Fractions is 11659206.Finally, LCM of Fractions for 46/390, 291/272, 871/493 is 11659206.