Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/212, 3581/8102 quickly i.e. 114592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/212, 3581/8102 is 114592.
LCM(64/212, 3581/8102) = 114592
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/212,3581/8102
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 64,3581
Least Common Multiple of Numerators i.e. LCM of 64,3581 is 229184.
GCF of Denominators means GCF of 212,8102 as per the given fractions.
GCF of 212,8102 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,3581
Given numbers has no common factors except 1. So, there LCM is their product i.e 229184
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 64,3581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,3581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,3581) x common factors =1 x 1 = 1
LCM(64,3581) = ( 64 × 3581 ) / 1
LCM(64,3581) = 229184 / 1
LCM(64,3581) = 229184
Lets's calculate GCF of 212,8102
2 | 212, 8102 |
106, 4051 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229184/2
Therefore the LCM of Fractions 64/212,3581/8102 is 114592
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 8102
List of positive integer factors of 8102 that divides 8102 without a remainder.
1,2,4051,8102
Greatest Common Factor
We found the factors 212,8102 . The biggest common factor number is the GCF number.
So the greatest common factor 212,8102 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 64/212, 3581/8102?
Answer: LCM of Numerators as per given numbers 64/212, 3581/8102 is
LCM of Numerators i.e. for 64,3581 is 229184
GCF of denominators i.e. for 212,8102 is 2.
Thus, LCM of Fractions is 114592.Finally, LCM of Fractions for 64/212, 3581/8102 is 114592.