Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/162, 963/821, 502/568 quickly i.e. 7734816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/162, 963/821, 502/568 is 7734816.
LCM(96/162, 963/821, 502/568) = 7734816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/162,963/821,502/568
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 96,963,502
Least Common Multiple of Numerators i.e. LCM of 96,963,502 is 7734816.
GCF of Denominators means GCF of 162,821,568 as per the given fractions.
GCF of 162,821,568 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,963,502
2 | 96, 963, 502 |
3 | 48, 963, 251 |
16, 321, 251 |
∴ So the LCM of the given numbers is 2 x 3 x 16 x 321 x 251 = 7734816
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 96,963,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,963,502) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(96,963,502) x common factors =1 x 6 = 6
LCM(96,963,502) = ( 96 × 963 × 502 ) / 6
LCM(96,963,502) = 46408896 / 6
LCM(96,963,502) = 7734816
Lets's calculate GCF of 162,821,568
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7734816/1
Therefore the LCM of Fractions 96/162,963/821,502/568 is 7734816
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 162,821,568 . The biggest common factor number is the GCF number.
So the greatest common factor 162,821,568 is 1.
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 96/162, 963/821, 502/568?
Answer: LCM of Numerators as per given numbers 96/162, 963/821, 502/568 is
LCM of Numerators i.e. for 96,963,502 is 7734816
GCF of denominators i.e. for 162,821,568 is 1.
Thus, LCM of Fractions is 7734816.Finally, LCM of Fractions for 96/162, 963/821, 502/568 is 7734816.