Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/145, 7882/4460 quickly i.e. 23646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/145, 7882/4460 is 23646.
LCM(15/145, 7882/4460) = 23646
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/145,7882/4460
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 15,7882
Least Common Multiple of Numerators i.e. LCM of 15,7882 is 118230.
GCF of Denominators means GCF of 145,4460 as per the given fractions.
GCF of 145,4460 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,7882
Given numbers has no common factors except 1. So, there LCM is their product i.e 118230
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 15,7882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,7882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,7882) x common factors =1 x 1 = 1
LCM(15,7882) = ( 15 × 7882 ) / 1
LCM(15,7882) = 118230 / 1
LCM(15,7882) = 118230
Lets's calculate GCF of 145,4460
5 | 145, 4460 |
29, 892 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118230/5
Therefore the LCM of Fractions 15/145,7882/4460 is 23646
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 4460
List of positive integer factors of 4460 that divides 4460 without a remainder.
1,2,4,5,10,20,223,446,892,1115,2230,4460
Greatest Common Factor
We found the factors 145,4460 . The biggest common factor number is the GCF number.
So the greatest common factor 145,4460 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 15/145, 7882/4460?
Answer: LCM of Numerators as per given numbers 15/145, 7882/4460 is
LCM of Numerators i.e. for 15,7882 is 118230
GCF of denominators i.e. for 145,4460 is 5.
Thus, LCM of Fractions is 23646.Finally, LCM of Fractions for 15/145, 7882/4460 is 23646.