Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/15, 80/408, 885/326 quickly i.e. 325680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/15, 80/408, 885/326 is 325680.
LCM(46/15, 80/408, 885/326) = 325680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/15,80/408,885/326
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 46,80,885
Least Common Multiple of Numerators i.e. LCM of 46,80,885 is 325680.
GCF of Denominators means GCF of 15,408,326 as per the given fractions.
GCF of 15,408,326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,80,885
2 | 46, 80, 885 |
5 | 23, 40, 885 |
23, 8, 177 |
∴ So the LCM of the given numbers is 2 x 5 x 23 x 8 x 177 = 325680
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 46,80,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,80,885) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(46,80,885) x common factors =1 x 10 = 10
LCM(46,80,885) = ( 46 × 80 × 885 ) / 10
LCM(46,80,885) = 3256800 / 10
LCM(46,80,885) = 325680
Lets's calculate GCF of 15,408,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325680/1
Therefore the LCM of Fractions 46/15,80/408,885/326 is 325680
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 15,408,326 . The biggest common factor number is the GCF number.
So the greatest common factor 15,408,326 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 46/15, 80/408, 885/326?
Answer: LCM of Numerators as per given numbers 46/15, 80/408, 885/326 is
LCM of Numerators i.e. for 46,80,885 is 325680
GCF of denominators i.e. for 15,408,326 is 1.
Thus, LCM of Fractions is 325680.Finally, LCM of Fractions for 46/15, 80/408, 885/326 is 325680.