Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 895/45, 103/9635 quickly i.e. 18437 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 895/45, 103/9635 is 18437.
LCM(895/45, 103/9635) = 18437
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 895/45,103/9635
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 895,103
Least Common Multiple of Numerators i.e. LCM of 895,103 is 92185.
GCF of Denominators means GCF of 45,9635 as per the given fractions.
GCF of 45,9635 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 895,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 92185
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 895,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,103) x common factors =1 x 1 = 1
LCM(895,103) = ( 895 × 103 ) / 1
LCM(895,103) = 92185 / 1
LCM(895,103) = 92185
Lets's calculate GCF of 45,9635
5 | 45, 9635 |
9, 1927 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92185/5
Therefore the LCM of Fractions 895/45,103/9635 is 18437
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 9635
List of positive integer factors of 9635 that divides 9635 without a remainder.
1,5,41,47,205,235,1927,9635
Greatest Common Factor
We found the factors 45,9635 . The biggest common factor number is the GCF number.
So the greatest common factor 45,9635 is 5.
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 895/45, 103/9635?
Answer: LCM of Numerators as per given numbers 895/45, 103/9635 is
LCM of Numerators i.e. for 895,103 is 92185
GCF of denominators i.e. for 45,9635 is 5.
Thus, LCM of Fractions is 18437.Finally, LCM of Fractions for 895/45, 103/9635 is 18437.