Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2128/963, 7917/494 quickly i.e. 2406768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2128/963, 7917/494 is 2406768.
LCM(2128/963, 7917/494) = 2406768
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2128/963,7917/494
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 2128,7917
Least Common Multiple of Numerators i.e. LCM of 2128,7917 is 2406768.
GCF of Denominators means GCF of 963,494 as per the given fractions.
GCF of 963,494 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2128,7917
7 | 2128, 7917 |
304, 1131 |
∴ So the LCM of the given numbers is 7 x 304 x 1131 = 2406768
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 2128,7917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2128,7917) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(2128,7917) x common factors =7 x 1 = 7
LCM(2128,7917) = ( 2128 × 7917 ) / 7
LCM(2128,7917) = 16847376 / 7
LCM(2128,7917) = 2406768
Lets's calculate GCF of 963,494
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2406768/1
Therefore the LCM of Fractions 2128/963,7917/494 is 2406768
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 963,494 . The biggest common factor number is the GCF number.
So the greatest common factor 963,494 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 2128/963, 7917/494?
Answer: LCM of Numerators as per given numbers 2128/963, 7917/494 is
LCM of Numerators i.e. for 2128,7917 is 2406768
GCF of denominators i.e. for 963,494 is 1.
Thus, LCM of Fractions is 2406768.Finally, LCM of Fractions for 2128/963, 7917/494 is 2406768.