Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/22, 82/802, 766/410 quickly i.e. 188436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/22, 82/802, 766/410 is 188436.
LCM(24/22, 82/802, 766/410) = 188436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/22,82/802,766/410
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 24,82,766
Least Common Multiple of Numerators i.e. LCM of 24,82,766 is 376872.
GCF of Denominators means GCF of 22,802,410 as per the given fractions.
GCF of 22,802,410 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,82,766
2 | 24, 82, 766 |
12, 41, 383 |
∴ So the LCM of the given numbers is 2 x 12 x 41 x 383 = 376872
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 24,82,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,82,766) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(24,82,766) x common factors =2 x 2 = 4
LCM(24,82,766) = ( 24 × 82 × 766 ) / 4
LCM(24,82,766) = 1507488 / 4
LCM(24,82,766) = 376872
Lets's calculate GCF of 22,802,410
2 | 22, 802, 410 |
11, 401, 205 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376872/2
Therefore the LCM of Fractions 24/22,82/802,766/410 is 188436
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 22,802,410 . The biggest common factor number is the GCF number.
So the greatest common factor 22,802,410 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 24/22, 82/802, 766/410?
Answer: LCM of Numerators as per given numbers 24/22, 82/802, 766/410 is
LCM of Numerators i.e. for 24,82,766 is 376872
GCF of denominators i.e. for 22,802,410 is 2.
Thus, LCM of Fractions is 188436.Finally, LCM of Fractions for 24/22, 82/802, 766/410 is 188436.