Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/13, 37/99, 527/489 quickly i.e. 1598918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/13, 37/99, 527/489 is 1598918.
LCM(82/13, 37/99, 527/489) = 1598918
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/13,37/99,527/489
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 82,37,527
Least Common Multiple of Numerators i.e. LCM of 82,37,527 is 1598918.
GCF of Denominators means GCF of 13,99,489 as per the given fractions.
GCF of 13,99,489 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,37,527
Given numbers has no common factors except 1. So, there LCM is their product i.e 1598918
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 82,37,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,37,527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,37,527) x common factors =1 x 1 = 1
LCM(82,37,527) = ( 82 × 37 × 527 ) / 1
LCM(82,37,527) = 1598918 / 1
LCM(82,37,527) = 1598918
Lets's calculate GCF of 13,99,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1598918/1
Therefore the LCM of Fractions 82/13,37/99,527/489 is 1598918
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Greatest Common Factor
We found the factors 13,99,489 . The biggest common factor number is the GCF number.
So the greatest common factor 13,99,489 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 82/13, 37/99, 527/489?
Answer: LCM of Numerators as per given numbers 82/13, 37/99, 527/489 is
LCM of Numerators i.e. for 82,37,527 is 1598918
GCF of denominators i.e. for 13,99,489 is 1.
Thus, LCM of Fractions is 1598918.Finally, LCM of Fractions for 82/13, 37/99, 527/489 is 1598918.