Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/885, 850/283, 400/860 quickly i.e. 156400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/885, 850/283, 400/860 is 156400.
LCM(46/885, 850/283, 400/860) = 156400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/885,850/283,400/860
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 46,850,400
Least Common Multiple of Numerators i.e. LCM of 46,850,400 is 156400.
GCF of Denominators means GCF of 885,283,860 as per the given fractions.
GCF of 885,283,860 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,850,400
2 | 46, 850, 400 |
5 | 23, 425, 200 |
5 | 23, 85, 40 |
23, 17, 8 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 23 x 17 x 8 = 156400
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 46,850,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,850,400) = 2
common factors(in case of two or more numbers have common factors) = 50
GCF(46,850,400) x common factors =2 x 50 = 100
LCM(46,850,400) = ( 46 × 850 × 400 ) / 100
LCM(46,850,400) = 15640000 / 100
LCM(46,850,400) = 156400
Lets's calculate GCF of 885,283,860
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156400/1
Therefore the LCM of Fractions 46/885,850/283,400/860 is 156400
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 885,283,860 . The biggest common factor number is the GCF number.
So the greatest common factor 885,283,860 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 46/885, 850/283, 400/860?
Answer: LCM of Numerators as per given numbers 46/885, 850/283, 400/860 is
LCM of Numerators i.e. for 46,850,400 is 156400
GCF of denominators i.e. for 885,283,860 is 1.
Thus, LCM of Fractions is 156400.Finally, LCM of Fractions for 46/885, 850/283, 400/860 is 156400.