Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/16, 64/650, 452/434 quickly i.e. 256736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/16, 64/650, 452/434 is 256736.
LCM(71/16, 64/650, 452/434) = 256736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/16,64/650,452/434
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 71,64,452
Least Common Multiple of Numerators i.e. LCM of 71,64,452 is 513472.
GCF of Denominators means GCF of 16,650,434 as per the given fractions.
GCF of 16,650,434 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,64,452
2 | 71, 64, 452 |
2 | 71, 32, 226 |
71, 16, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 16 x 113 = 513472
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 71,64,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,64,452) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(71,64,452) x common factors =1 x 4 = 4
LCM(71,64,452) = ( 71 × 64 × 452 ) / 4
LCM(71,64,452) = 2053888 / 4
LCM(71,64,452) = 513472
Lets's calculate GCF of 16,650,434
2 | 16, 650, 434 |
8, 325, 217 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 513472/2
Therefore the LCM of Fractions 71/16,64/650,452/434 is 256736
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 16,650,434 . The biggest common factor number is the GCF number.
So the greatest common factor 16,650,434 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 71/16, 64/650, 452/434?
Answer: LCM of Numerators as per given numbers 71/16, 64/650, 452/434 is
LCM of Numerators i.e. for 71,64,452 is 513472
GCF of denominators i.e. for 16,650,434 is 2.
Thus, LCM of Fractions is 256736.Finally, LCM of Fractions for 71/16, 64/650, 452/434 is 256736.