Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 447/175, 9661/9165 quickly i.e. 4318467/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 447/175, 9661/9165 is 4318467/5.
LCM(447/175, 9661/9165) = 4318467/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 447/175,9661/9165
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 447,9661
Least Common Multiple of Numerators i.e. LCM of 447,9661 is 4318467.
GCF of Denominators means GCF of 175,9165 as per the given fractions.
GCF of 175,9165 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 447,9661
Given numbers has no common factors except 1. So, there LCM is their product i.e 4318467
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 447,9661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,9661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,9661) x common factors =1 x 1 = 1
LCM(447,9661) = ( 447 × 9661 ) / 1
LCM(447,9661) = 4318467 / 1
LCM(447,9661) = 4318467
Lets's calculate GCF of 175,9165
5 | 175, 9165 |
35, 1833 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4318467/5
Therefore the LCM of Fractions 447/175,9661/9165 is 4318467/5
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 9165
List of positive integer factors of 9165 that divides 9165 without a remainder.
1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165
Greatest Common Factor
We found the factors 175,9165 . The biggest common factor number is the GCF number.
So the greatest common factor 175,9165 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 447/175, 9661/9165?
Answer: LCM of Numerators as per given numbers 447/175, 9661/9165 is
LCM of Numerators i.e. for 447,9661 is 4318467
GCF of denominators i.e. for 175,9165 is 5.
Thus, LCM of Fractions is 4318467/5.Finally, LCM of Fractions for 447/175, 9661/9165 is 4318467/5.