Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/963, 2890/2467 quickly i.e. 193630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/963, 2890/2467 is 193630.
LCM(67/963, 2890/2467) = 193630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/963,2890/2467
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 67,2890
Least Common Multiple of Numerators i.e. LCM of 67,2890 is 193630.
GCF of Denominators means GCF of 963,2467 as per the given fractions.
GCF of 963,2467 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,2890
Given numbers has no common factors except 1. So, there LCM is their product i.e 193630
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 67,2890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,2890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,2890) x common factors =1 x 1 = 1
LCM(67,2890) = ( 67 × 2890 ) / 1
LCM(67,2890) = 193630 / 1
LCM(67,2890) = 193630
Lets's calculate GCF of 963,2467
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193630/1
Therefore the LCM of Fractions 67/963,2890/2467 is 193630
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 2467
List of positive integer factors of 2467 that divides 2467 without a remainder.
1,2467
Greatest Common Factor
We found the factors 963,2467 . The biggest common factor number is the GCF number.
So the greatest common factor 963,2467 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 67/963, 2890/2467?
Answer: LCM of Numerators as per given numbers 67/963, 2890/2467 is
LCM of Numerators i.e. for 67,2890 is 193630
GCF of denominators i.e. for 963,2467 is 1.
Thus, LCM of Fractions is 193630.Finally, LCM of Fractions for 67/963, 2890/2467 is 193630.