Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 963/676, 4587/594 quickly i.e. 1472427/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 963/676, 4587/594 is 1472427/2.
LCM(963/676, 4587/594) = 1472427/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 963/676,4587/594
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 963,4587
Least Common Multiple of Numerators i.e. LCM of 963,4587 is 1472427.
GCF of Denominators means GCF of 676,594 as per the given fractions.
GCF of 676,594 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 963,4587
3 | 963, 4587 |
321, 1529 |
∴ So the LCM of the given numbers is 3 x 321 x 1529 = 1472427
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 963,4587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,4587) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(963,4587) x common factors =3 x 1 = 3
LCM(963,4587) = ( 963 × 4587 ) / 3
LCM(963,4587) = 4417281 / 3
LCM(963,4587) = 1472427
Lets's calculate GCF of 676,594
2 | 676, 594 |
338, 297 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1472427/2
Therefore the LCM of Fractions 963/676,4587/594 is 1472427/2
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 676,594 . The biggest common factor number is the GCF number.
So the greatest common factor 676,594 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 963/676, 4587/594?
Answer: LCM of Numerators as per given numbers 963/676, 4587/594 is
LCM of Numerators i.e. for 963,4587 is 1472427
GCF of denominators i.e. for 676,594 is 2.
Thus, LCM of Fractions is 1472427/2.Finally, LCM of Fractions for 963/676, 4587/594 is 1472427/2.