Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/501, 21/416, 659/901 quickly i.e. 1148637 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/501, 21/416, 659/901 is 1148637.
LCM(83/501, 21/416, 659/901) = 1148637
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/501,21/416,659/901
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 83,21,659
Least Common Multiple of Numerators i.e. LCM of 83,21,659 is 1148637.
GCF of Denominators means GCF of 501,416,901 as per the given fractions.
GCF of 501,416,901 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,21,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 1148637
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 83,21,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,21,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,21,659) x common factors =1 x 1 = 1
LCM(83,21,659) = ( 83 × 21 × 659 ) / 1
LCM(83,21,659) = 1148637 / 1
LCM(83,21,659) = 1148637
Lets's calculate GCF of 501,416,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1148637/1
Therefore the LCM of Fractions 83/501,21/416,659/901 is 1148637
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 501,416,901 . The biggest common factor number is the GCF number.
So the greatest common factor 501,416,901 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 83/501, 21/416, 659/901?
Answer: LCM of Numerators as per given numbers 83/501, 21/416, 659/901 is
LCM of Numerators i.e. for 83,21,659 is 1148637
GCF of denominators i.e. for 501,416,901 is 1.
Thus, LCM of Fractions is 1148637.Finally, LCM of Fractions for 83/501, 21/416, 659/901 is 1148637.