Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/835, 555/998, 895/829 quickly i.e. 1291485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/835, 555/998, 895/829 is 1291485.
LCM(39/835, 555/998, 895/829) = 1291485
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/835,555/998,895/829
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 39,555,895
Least Common Multiple of Numerators i.e. LCM of 39,555,895 is 1291485.
GCF of Denominators means GCF of 835,998,829 as per the given fractions.
GCF of 835,998,829 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,555,895
3 | 39, 555, 895 |
5 | 13, 185, 895 |
13, 37, 179 |
∴ So the LCM of the given numbers is 3 x 5 x 13 x 37 x 179 = 1291485
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 39,555,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,555,895) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(39,555,895) x common factors =1 x 15 = 15
LCM(39,555,895) = ( 39 × 555 × 895 ) / 15
LCM(39,555,895) = 19372275 / 15
LCM(39,555,895) = 1291485
Lets's calculate GCF of 835,998,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1291485/1
Therefore the LCM of Fractions 39/835,555/998,895/829 is 1291485
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Greatest Common Factor
We found the factors 835,998,829 . The biggest common factor number is the GCF number.
So the greatest common factor 835,998,829 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 39/835, 555/998, 895/829?
Answer: LCM of Numerators as per given numbers 39/835, 555/998, 895/829 is
LCM of Numerators i.e. for 39,555,895 is 1291485
GCF of denominators i.e. for 835,998,829 is 1.
Thus, LCM of Fractions is 1291485.Finally, LCM of Fractions for 39/835, 555/998, 895/829 is 1291485.