Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 192/70, 651/6465 quickly i.e. 41664/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 192/70, 651/6465 is 41664/5.
LCM(192/70, 651/6465) = 41664/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 192/70,651/6465
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 192,651
Least Common Multiple of Numerators i.e. LCM of 192,651 is 41664.
GCF of Denominators means GCF of 70,6465 as per the given fractions.
GCF of 70,6465 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 192,651
3 | 192, 651 |
64, 217 |
∴ So the LCM of the given numbers is 3 x 64 x 217 = 41664
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 192,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,651) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(192,651) x common factors =3 x 1 = 3
LCM(192,651) = ( 192 × 651 ) / 3
LCM(192,651) = 124992 / 3
LCM(192,651) = 41664
Lets's calculate GCF of 70,6465
5 | 70, 6465 |
14, 1293 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41664/5
Therefore the LCM of Fractions 192/70,651/6465 is 41664/5
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 6465
List of positive integer factors of 6465 that divides 6465 without a remainder.
1,3,5,15,431,1293,2155,6465
Greatest Common Factor
We found the factors 70,6465 . The biggest common factor number is the GCF number.
So the greatest common factor 70,6465 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 192/70, 651/6465?
Answer: LCM of Numerators as per given numbers 192/70, 651/6465 is
LCM of Numerators i.e. for 192,651 is 41664
GCF of denominators i.e. for 70,6465 is 5.
Thus, LCM of Fractions is 41664/5.Finally, LCM of Fractions for 192/70, 651/6465 is 41664/5.