Least Common Multiple of 46/73, 68/186, 488/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/73, 68/186, 488/849 quickly i.e. 190808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/73, 68/186, 488/849 is 190808.

LCM(46/73, 68/186, 488/849) = 190808

LCM of 46/73, 68/186, 488/849

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 46/73,68/186,488/849

Given numbers are 46/73,68/186,488/849

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 46,68,488

Least Common Multiple of Numerators i.e. LCM of 46,68,488 is 190808.

GCF of Denominators means GCF of 73,186,849 as per the given fractions.

GCF of 73,186,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,68,488

LCM of Fractions 46/73,68/186,488/849 is 190808

2 46, 68, 488
2 23, 34, 244
23, 17, 122

∴ So the LCM of the given numbers is 2 x 2 x 23 x 17 x 122 = 190808

Least Common Multiple of 46,68,488 with GCF Formula

Least Common Multiple of 46,68,488 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 46,68,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,68,488) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(46,68,488) x common factors =2 x 4 = 8

LCM(46,68,488) = ( 46 × 68 × 488 ) / 8

LCM(46,68,488) = 1526464 / 8

LCM(46,68,488) = 190808


Lets's calculate GCF of 73,186,849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190808/1

Therefore the LCM of Fractions 46/73,68/186,488/849 is 190808

Greatest Common Factor of 73,186,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,186,849 By Matching Biggest Common Factor Method

Factors of 73

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

1,73

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 73,186,849 . The biggest common factor number is the GCF number.
So the greatest common factor 73,186,849 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 46/73, 68/186, 488/849

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 46/73, 68/186, 488/849?

Answer: LCM of Numerators as per given numbers 46/73, 68/186, 488/849 is

LCM of Numerators i.e. for 46,68,488 is 190808

GCF of denominators i.e. for 73,186,849 is 1.

Thus, LCM of Fractions is 190808.Finally, LCM of Fractions for 46/73, 68/186, 488/849 is 190808.