Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 644/22, 762/9666 quickly i.e. 122682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 644/22, 762/9666 is 122682.
LCM(644/22, 762/9666) = 122682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 644/22,762/9666
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 644,762
Least Common Multiple of Numerators i.e. LCM of 644,762 is 245364.
GCF of Denominators means GCF of 22,9666 as per the given fractions.
GCF of 22,9666 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 644,762
2 | 644, 762 |
322, 381 |
∴ So the LCM of the given numbers is 2 x 322 x 381 = 245364
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 644,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(644,762) x common factors =2 x 1 = 2
LCM(644,762) = ( 644 × 762 ) / 2
LCM(644,762) = 490728 / 2
LCM(644,762) = 245364
Lets's calculate GCF of 22,9666
2 | 22, 9666 |
11, 4833 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245364/2
Therefore the LCM of Fractions 644/22,762/9666 is 122682
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 9666
List of positive integer factors of 9666 that divides 9666 without a remainder.
1,2,3,6,9,18,27,54,179,358,537,1074,1611,3222,4833,9666
Greatest Common Factor
We found the factors 22,9666 . The biggest common factor number is the GCF number.
So the greatest common factor 22,9666 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 644/22, 762/9666?
Answer: LCM of Numerators as per given numbers 644/22, 762/9666 is
LCM of Numerators i.e. for 644,762 is 245364
GCF of denominators i.e. for 22,9666 is 2.
Thus, LCM of Fractions is 122682.Finally, LCM of Fractions for 644/22, 762/9666 is 122682.