Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 106/96, 387/3236 quickly i.e. 41022/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 106/96, 387/3236 is 41022/4.
LCM(106/96, 387/3236) = 41022/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 106/96,387/3236
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 106,387
Least Common Multiple of Numerators i.e. LCM of 106,387 is 41022.
GCF of Denominators means GCF of 96,3236 as per the given fractions.
GCF of 96,3236 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 106,387
Given numbers has no common factors except 1. So, there LCM is their product i.e 41022
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 106,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,387) x common factors =1 x 1 = 1
LCM(106,387) = ( 106 × 387 ) / 1
LCM(106,387) = 41022 / 1
LCM(106,387) = 41022
Lets's calculate GCF of 96,3236
2 | 96, 3236 |
2 | 48, 1618 |
24, 809 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41022/4
Therefore the LCM of Fractions 106/96,387/3236 is 41022/4
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 3236
List of positive integer factors of 3236 that divides 3236 without a remainder.
1,2,4,809,1618,3236
Greatest Common Factor
We found the factors 96,3236 . The biggest common factor number is the GCF number.
So the greatest common factor 96,3236 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 106/96, 387/3236?
Answer: LCM of Numerators as per given numbers 106/96, 387/3236 is
LCM of Numerators i.e. for 106,387 is 41022
GCF of denominators i.e. for 96,3236 is 4.
Thus, LCM of Fractions is 41022/4.Finally, LCM of Fractions for 106/96, 387/3236 is 41022/4.