Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 964/82, 993/6670 quickly i.e. 478626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 964/82, 993/6670 is 478626.
LCM(964/82, 993/6670) = 478626
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 964/82,993/6670
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 964,993
Least Common Multiple of Numerators i.e. LCM of 964,993 is 957252.
GCF of Denominators means GCF of 82,6670 as per the given fractions.
GCF of 82,6670 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 964,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 957252
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 964,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,993) x common factors =1 x 1 = 1
LCM(964,993) = ( 964 × 993 ) / 1
LCM(964,993) = 957252 / 1
LCM(964,993) = 957252
Lets's calculate GCF of 82,6670
2 | 82, 6670 |
41, 3335 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 957252/2
Therefore the LCM of Fractions 964/82,993/6670 is 478626
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 6670
List of positive integer factors of 6670 that divides 6670 without a remainder.
1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Greatest Common Factor
We found the factors 82,6670 . The biggest common factor number is the GCF number.
So the greatest common factor 82,6670 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 964/82, 993/6670?
Answer: LCM of Numerators as per given numbers 964/82, 993/6670 is
LCM of Numerators i.e. for 964,993 is 957252
GCF of denominators i.e. for 82,6670 is 2.
Thus, LCM of Fractions is 478626.Finally, LCM of Fractions for 964/82, 993/6670 is 478626.