Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 962/40, 966/8485 quickly i.e. 464646/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 962/40, 966/8485 is 464646/5.
LCM(962/40, 966/8485) = 464646/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 962/40,966/8485
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 962,966
Least Common Multiple of Numerators i.e. LCM of 962,966 is 464646.
GCF of Denominators means GCF of 40,8485 as per the given fractions.
GCF of 40,8485 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 962,966
2 | 962, 966 |
481, 483 |
∴ So the LCM of the given numbers is 2 x 481 x 483 = 464646
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 962,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(962,966) x common factors =2 x 1 = 2
LCM(962,966) = ( 962 × 966 ) / 2
LCM(962,966) = 929292 / 2
LCM(962,966) = 464646
Lets's calculate GCF of 40,8485
5 | 40, 8485 |
8, 1697 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464646/5
Therefore the LCM of Fractions 962/40,966/8485 is 464646/5
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 8485
List of positive integer factors of 8485 that divides 8485 without a remainder.
1,5,1697,8485
Greatest Common Factor
We found the factors 40,8485 . The biggest common factor number is the GCF number.
So the greatest common factor 40,8485 is 5.
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 962/40, 966/8485?
Answer: LCM of Numerators as per given numbers 962/40, 966/8485 is
LCM of Numerators i.e. for 962,966 is 464646
GCF of denominators i.e. for 40,8485 is 5.
Thus, LCM of Fractions is 464646/5.Finally, LCM of Fractions for 962/40, 966/8485 is 464646/5.