Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4149/912, 5815/8911 quickly i.e. 24126435/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4149/912, 5815/8911 is 24126435/19.
LCM(4149/912, 5815/8911) = 24126435/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4149/912,5815/8911
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 4149,5815
Least Common Multiple of Numerators i.e. LCM of 4149,5815 is 24126435.
GCF of Denominators means GCF of 912,8911 as per the given fractions.
GCF of 912,8911 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4149,5815
Given numbers has no common factors except 1. So, there LCM is their product i.e 24126435
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 4149,5815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4149,5815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4149,5815) x common factors =1 x 1 = 1
LCM(4149,5815) = ( 4149 × 5815 ) / 1
LCM(4149,5815) = 24126435 / 1
LCM(4149,5815) = 24126435
Lets's calculate GCF of 912,8911
19 | 912, 8911 |
48, 469 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24126435/19
Therefore the LCM of Fractions 4149/912,5815/8911 is 24126435/19
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 8911
List of positive integer factors of 8911 that divides 8911 without a remainder.
1,7,19,67,133,469,1273,8911
Greatest Common Factor
We found the factors 912,8911 . The biggest common factor number is the GCF number.
So the greatest common factor 912,8911 is 19.
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 4149/912, 5815/8911?
Answer: LCM of Numerators as per given numbers 4149/912, 5815/8911 is
LCM of Numerators i.e. for 4149,5815 is 24126435
GCF of denominators i.e. for 912,8911 is 19.
Thus, LCM of Fractions is 24126435/19.Finally, LCM of Fractions for 4149/912, 5815/8911 is 24126435/19.