Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/99, 598/88, 505/291 quickly i.e. 21441290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/99, 598/88, 505/291 is 21441290.
LCM(71/99, 598/88, 505/291) = 21441290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/99,598/88,505/291
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 71,598,505
Least Common Multiple of Numerators i.e. LCM of 71,598,505 is 21441290.
GCF of Denominators means GCF of 99,88,291 as per the given fractions.
GCF of 99,88,291 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,598,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 21441290
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 71,598,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,598,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,598,505) x common factors =1 x 1 = 1
LCM(71,598,505) = ( 71 × 598 × 505 ) / 1
LCM(71,598,505) = 21441290 / 1
LCM(71,598,505) = 21441290
Lets's calculate GCF of 99,88,291
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21441290/1
Therefore the LCM of Fractions 71/99,598/88,505/291 is 21441290
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Greatest Common Factor
We found the factors 99,88,291 . The biggest common factor number is the GCF number.
So the greatest common factor 99,88,291 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 71/99, 598/88, 505/291?
Answer: LCM of Numerators as per given numbers 71/99, 598/88, 505/291 is
LCM of Numerators i.e. for 71,598,505 is 21441290
GCF of denominators i.e. for 99,88,291 is 1.
Thus, LCM of Fractions is 21441290.Finally, LCM of Fractions for 71/99, 598/88, 505/291 is 21441290.