Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/73, 34/19, 44/71, 99/531 quickly i.e. 477972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/73, 34/19, 44/71, 99/531 is 477972.
LCM(71/73, 34/19, 44/71, 99/531) = 477972
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/73,34/19,44/71,99/531
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 71,34,44,99
Least Common Multiple of Numerators i.e. LCM of 71,34,44,99 is 477972.
GCF of Denominators means GCF of 73,19,71,531 as per the given fractions.
GCF of 73,19,71,531 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,34,44,99
2 | 71, 34, 44, 99 |
11 | 71, 17, 22, 99 |
71, 17, 2, 9 |
∴ So the LCM of the given numbers is 2 x 11 x 71 x 17 x 2 x 9 = 477972
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 71,34,44,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,34,44,99) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(71,34,44,99) x common factors =1 x 22 = 22
LCM(71,34,44,99) = ( 71 × 34 × 44 × 99 ) / 22
LCM(71,34,44,99) = 10515384 / 22
LCM(71,34,44,99) = 477972
Lets's calculate GCF of 73,19,71,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477972/1
Therefore the LCM of Fractions 71/73,34/19,44/71,99/531 is 477972
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 73,19,71,531 . The biggest common factor number is the GCF number.
So the greatest common factor 73,19,71,531 is 1.
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 71/73, 34/19, 44/71, 99/531?
Answer: LCM of Numerators as per given numbers 71/73, 34/19, 44/71, 99/531 is
LCM of Numerators i.e. for 71,34,44,99 is 477972
GCF of denominators i.e. for 73,19,71,531 is 1.
Thus, LCM of Fractions is 477972.Finally, LCM of Fractions for 71/73, 34/19, 44/71, 99/531 is 477972.