Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 416/78, 145/8108 quickly i.e. 30160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 416/78, 145/8108 is 30160.
LCM(416/78, 145/8108) = 30160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 416/78,145/8108
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 416,145
Least Common Multiple of Numerators i.e. LCM of 416,145 is 60320.
GCF of Denominators means GCF of 78,8108 as per the given fractions.
GCF of 78,8108 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 416,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 60320
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 416,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(416,145) x common factors =1 x 1 = 1
LCM(416,145) = ( 416 × 145 ) / 1
LCM(416,145) = 60320 / 1
LCM(416,145) = 60320
Lets's calculate GCF of 78,8108
2 | 78, 8108 |
39, 4054 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60320/2
Therefore the LCM of Fractions 416/78,145/8108 is 30160
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 8108
List of positive integer factors of 8108 that divides 8108 without a remainder.
1,2,4,2027,4054,8108
Greatest Common Factor
We found the factors 78,8108 . The biggest common factor number is the GCF number.
So the greatest common factor 78,8108 is 2.
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 416/78, 145/8108?
Answer: LCM of Numerators as per given numbers 416/78, 145/8108 is
LCM of Numerators i.e. for 416,145 is 60320
GCF of denominators i.e. for 78,8108 is 2.
Thus, LCM of Fractions is 30160.Finally, LCM of Fractions for 416/78, 145/8108 is 30160.