Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/141, 721/993, 648/477 quickly i.e. 155736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/141, 721/993, 648/477 is 155736.
LCM(21/141, 721/993, 648/477) = 155736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/141,721/993,648/477
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 21,721,648
Least Common Multiple of Numerators i.e. LCM of 21,721,648 is 467208.
GCF of Denominators means GCF of 141,993,477 as per the given fractions.
GCF of 141,993,477 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,721,648
3 | 21, 721, 648 |
7 | 7, 721, 216 |
1, 103, 216 |
∴ So the LCM of the given numbers is 3 x 7 x 1 x 103 x 216 = 467208
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 21,721,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,721,648) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(21,721,648) x common factors =1 x 21 = 21
LCM(21,721,648) = ( 21 × 721 × 648 ) / 21
LCM(21,721,648) = 9811368 / 21
LCM(21,721,648) = 467208
Lets's calculate GCF of 141,993,477
3 | 141, 993, 477 |
47, 331, 159 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467208/3
Therefore the LCM of Fractions 21/141,721/993,648/477 is 155736
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Greatest Common Factor
We found the factors 141,993,477 . The biggest common factor number is the GCF number.
So the greatest common factor 141,993,477 is 3.
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 21/141, 721/993, 648/477?
Answer: LCM of Numerators as per given numbers 21/141, 721/993, 648/477 is
LCM of Numerators i.e. for 21,721,648 is 467208
GCF of denominators i.e. for 141,993,477 is 3.
Thus, LCM of Fractions is 155736.Finally, LCM of Fractions for 21/141, 721/993, 648/477 is 155736.