Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/942, 77/844, 733/806 quickly i.e. 677292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/942, 77/844, 733/806 is 677292.
LCM(24/942, 77/844, 733/806) = 677292
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/942,77/844,733/806
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 24,77,733
Least Common Multiple of Numerators i.e. LCM of 24,77,733 is 1354584.
GCF of Denominators means GCF of 942,844,806 as per the given fractions.
GCF of 942,844,806 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,77,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 1354584
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 24,77,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,77,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,77,733) x common factors =1 x 1 = 1
LCM(24,77,733) = ( 24 × 77 × 733 ) / 1
LCM(24,77,733) = 1354584 / 1
LCM(24,77,733) = 1354584
Lets's calculate GCF of 942,844,806
2 | 942, 844, 806 |
471, 422, 403 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1354584/2
Therefore the LCM of Fractions 24/942,77/844,733/806 is 677292
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 942,844,806 . The biggest common factor number is the GCF number.
So the greatest common factor 942,844,806 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 24/942, 77/844, 733/806?
Answer: LCM of Numerators as per given numbers 24/942, 77/844, 733/806 is
LCM of Numerators i.e. for 24,77,733 is 1354584
GCF of denominators i.e. for 942,844,806 is 2.
Thus, LCM of Fractions is 677292.Finally, LCM of Fractions for 24/942, 77/844, 733/806 is 677292.