Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8770/412, 7316/148 quickly i.e. 8020165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8770/412, 7316/148 is 8020165.
LCM(8770/412, 7316/148) = 8020165
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8770/412,7316/148
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 8770,7316
Least Common Multiple of Numerators i.e. LCM of 8770,7316 is 32080660.
GCF of Denominators means GCF of 412,148 as per the given fractions.
GCF of 412,148 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8770,7316
2 | 8770, 7316 |
4385, 3658 |
∴ So the LCM of the given numbers is 2 x 4385 x 3658 = 32080660
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 8770,7316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8770,7316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8770,7316) x common factors =2 x 1 = 2
LCM(8770,7316) = ( 8770 × 7316 ) / 2
LCM(8770,7316) = 64161320 / 2
LCM(8770,7316) = 32080660
Lets's calculate GCF of 412,148
2 | 412, 148 |
2 | 206, 74 |
103, 37 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32080660/4
Therefore the LCM of Fractions 8770/412,7316/148 is 8020165
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Greatest Common Factor
We found the factors 412,148 . The biggest common factor number is the GCF number.
So the greatest common factor 412,148 is 4.
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 8770/412, 7316/148?
Answer: LCM of Numerators as per given numbers 8770/412, 7316/148 is
LCM of Numerators i.e. for 8770,7316 is 32080660
GCF of denominators i.e. for 412,148 is 4.
Thus, LCM of Fractions is 8020165.Finally, LCM of Fractions for 8770/412, 7316/148 is 8020165.