Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/66, 621/33, 201/901 quickly i.e. 1164996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/66, 621/33, 201/901 is 1164996.
LCM(84/66, 621/33, 201/901) = 1164996
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/66,621/33,201/901
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 84,621,201
Least Common Multiple of Numerators i.e. LCM of 84,621,201 is 1164996.
GCF of Denominators means GCF of 66,33,901 as per the given fractions.
GCF of 66,33,901 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,621,201
3 | 84, 621, 201 |
28, 207, 67 |
∴ So the LCM of the given numbers is 3 x 28 x 207 x 67 = 1164996
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 84,621,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,621,201) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(84,621,201) x common factors =3 x 3 = 9
LCM(84,621,201) = ( 84 × 621 × 201 ) / 9
LCM(84,621,201) = 10484964 / 9
LCM(84,621,201) = 1164996
Lets's calculate GCF of 66,33,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1164996/1
Therefore the LCM of Fractions 84/66,621/33,201/901 is 1164996
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
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 66,33,901 . The biggest common factor number is the GCF number.
So the greatest common factor 66,33,901 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 84/66, 621/33, 201/901?
Answer: LCM of Numerators as per given numbers 84/66, 621/33, 201/901 is
LCM of Numerators i.e. for 84,621,201 is 1164996
GCF of denominators i.e. for 66,33,901 is 1.
Thus, LCM of Fractions is 1164996.Finally, LCM of Fractions for 84/66, 621/33, 201/901 is 1164996.