Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 859/555, 444/999 quickly i.e. 3436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 859/555, 444/999 is 3436.
LCM(859/555, 444/999) = 3436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 859/555,444/999
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 859,444
Least Common Multiple of Numerators i.e. LCM of 859,444 is 381396.
GCF of Denominators means GCF of 555,999 as per the given fractions.
GCF of 555,999 is 111 as it is the largest common factor for these numbers.
Lets's calculate LCM of 859,444
Given numbers has no common factors except 1. So, there LCM is their product i.e 381396
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 859,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,444) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,444) x common factors =1 x 1 = 1
LCM(859,444) = ( 859 × 444 ) / 1
LCM(859,444) = 381396 / 1
LCM(859,444) = 381396
Lets's calculate GCF of 555,999
3 | 555, 999 |
37 | 185, 333 |
5, 9 |
∴ So the GCF of the given numbers is 3 x 37 = 111
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381396/111
Therefore the LCM of Fractions 859/555,444/999 is 3436
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 555,999 . The biggest common factor number is the GCF number.
So the greatest common factor 555,999 is 111.
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 859/555, 444/999?
Answer: LCM of Numerators as per given numbers 859/555, 444/999 is
LCM of Numerators i.e. for 859,444 is 381396
GCF of denominators i.e. for 555,999 is 111.
Thus, LCM of Fractions is 3436.Finally, LCM of Fractions for 859/555, 444/999 is 3436.