Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/946, 27/505, 529/804 quickly i.e. 99981 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/946, 27/505, 529/804 is 99981.
LCM(21/946, 27/505, 529/804) = 99981
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/946,27/505,529/804
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 21,27,529
Least Common Multiple of Numerators i.e. LCM of 21,27,529 is 99981.
GCF of Denominators means GCF of 946,505,804 as per the given fractions.
GCF of 946,505,804 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,27,529
3 | 21, 27, 529 |
7, 9, 529 |
∴ So the LCM of the given numbers is 3 x 7 x 9 x 529 = 99981
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 21,27,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,27,529) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,27,529) x common factors =1 x 3 = 3
LCM(21,27,529) = ( 21 × 27 × 529 ) / 3
LCM(21,27,529) = 299943 / 3
LCM(21,27,529) = 99981
Lets's calculate GCF of 946,505,804
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99981/1
Therefore the LCM of Fractions 21/946,27/505,529/804 is 99981
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 946,505,804 . The biggest common factor number is the GCF number.
So the greatest common factor 946,505,804 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 21/946, 27/505, 529/804?
Answer: LCM of Numerators as per given numbers 21/946, 27/505, 529/804 is
LCM of Numerators i.e. for 21,27,529 is 99981
GCF of denominators i.e. for 946,505,804 is 1.
Thus, LCM of Fractions is 99981.Finally, LCM of Fractions for 21/946, 27/505, 529/804 is 99981.