Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 961/633, 124/836, 694/582 quickly i.e. 1333868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 961/633, 124/836, 694/582 is 1333868.
LCM(961/633, 124/836, 694/582) = 1333868
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 961/633,124/836,694/582
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 961,124,694
Least Common Multiple of Numerators i.e. LCM of 961,124,694 is 1333868.
GCF of Denominators means GCF of 633,836,582 as per the given fractions.
GCF of 633,836,582 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 961,124,694
2 | 961, 124, 694 |
31 | 961, 62, 347 |
31, 2, 347 |
∴ So the LCM of the given numbers is 2 x 31 x 31 x 2 x 347 = 1333868
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 961,124,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,124,694) = 1
common factors(in case of two or more numbers have common factors) = 62
GCF(961,124,694) x common factors =1 x 62 = 62
LCM(961,124,694) = ( 961 × 124 × 694 ) / 62
LCM(961,124,694) = 82699816 / 62
LCM(961,124,694) = 1333868
Lets's calculate GCF of 633,836,582
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1333868/1
Therefore the LCM of Fractions 961/633,124/836,694/582 is 1333868
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 633,836,582 . The biggest common factor number is the GCF number.
So the greatest common factor 633,836,582 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 961/633, 124/836, 694/582?
Answer: LCM of Numerators as per given numbers 961/633, 124/836, 694/582 is
LCM of Numerators i.e. for 961,124,694 is 1333868
GCF of denominators i.e. for 633,836,582 is 1.
Thus, LCM of Fractions is 1333868.Finally, LCM of Fractions for 961/633, 124/836, 694/582 is 1333868.