Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/62, 743/44, 774/572 quickly i.e. 8338689 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/62, 743/44, 774/572 is 8338689.
LCM(29/62, 743/44, 774/572) = 8338689
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/62,743/44,774/572
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 29,743,774
Least Common Multiple of Numerators i.e. LCM of 29,743,774 is 16677378.
GCF of Denominators means GCF of 62,44,572 as per the given fractions.
GCF of 62,44,572 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,743,774
Given numbers has no common factors except 1. So, there LCM is their product i.e 16677378
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 29,743,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,743,774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,743,774) x common factors =1 x 1 = 1
LCM(29,743,774) = ( 29 × 743 × 774 ) / 1
LCM(29,743,774) = 16677378 / 1
LCM(29,743,774) = 16677378
Lets's calculate GCF of 62,44,572
2 | 62, 44, 572 |
31, 22, 286 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16677378/2
Therefore the LCM of Fractions 29/62,743/44,774/572 is 8338689
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 62,44,572 . The biggest common factor number is the GCF number.
So the greatest common factor 62,44,572 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 29/62, 743/44, 774/572?
Answer: LCM of Numerators as per given numbers 29/62, 743/44, 774/572 is
LCM of Numerators i.e. for 29,743,774 is 16677378
GCF of denominators i.e. for 62,44,572 is 2.
Thus, LCM of Fractions is 8338689.Finally, LCM of Fractions for 29/62, 743/44, 774/572 is 8338689.