Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/962, 7643/3912 quickly i.e. 512081/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/962, 7643/3912 is 512081/2.
LCM(67/962, 7643/3912) = 512081/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/962,7643/3912
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 67,7643
Least Common Multiple of Numerators i.e. LCM of 67,7643 is 512081.
GCF of Denominators means GCF of 962,3912 as per the given fractions.
GCF of 962,3912 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,7643
Given numbers has no common factors except 1. So, there LCM is their product i.e 512081
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 67,7643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,7643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,7643) x common factors =1 x 1 = 1
LCM(67,7643) = ( 67 × 7643 ) / 1
LCM(67,7643) = 512081 / 1
LCM(67,7643) = 512081
Lets's calculate GCF of 962,3912
2 | 962, 3912 |
481, 1956 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 512081/2
Therefore the LCM of Fractions 67/962,7643/3912 is 512081/2
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 3912
List of positive integer factors of 3912 that divides 3912 without a remainder.
1,2,3,4,6,8,12,24,163,326,489,652,978,1304,1956,3912
Greatest Common Factor
We found the factors 962,3912 . The biggest common factor number is the GCF number.
So the greatest common factor 962,3912 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 67/962, 7643/3912?
Answer: LCM of Numerators as per given numbers 67/962, 7643/3912 is
LCM of Numerators i.e. for 67,7643 is 512081
GCF of denominators i.e. for 962,3912 is 2.
Thus, LCM of Fractions is 512081/2.Finally, LCM of Fractions for 67/962, 7643/3912 is 512081/2.