Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 421/21, 554/3321 quickly i.e. 233234/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 421/21, 554/3321 is 233234/3.
LCM(421/21, 554/3321) = 233234/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 421/21,554/3321
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 421,554
Least Common Multiple of Numerators i.e. LCM of 421,554 is 233234.
GCF of Denominators means GCF of 21,3321 as per the given fractions.
GCF of 21,3321 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 421,554
Given numbers has no common factors except 1. So, there LCM is their product i.e 233234
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 421,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,554) x common factors =1 x 1 = 1
LCM(421,554) = ( 421 × 554 ) / 1
LCM(421,554) = 233234 / 1
LCM(421,554) = 233234
Lets's calculate GCF of 21,3321
3 | 21, 3321 |
7, 1107 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233234/3
Therefore the LCM of Fractions 421/21,554/3321 is 233234/3
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 3321
List of positive integer factors of 3321 that divides 3321 without a remainder.
1,3,9,27,41,81,123,369,1107,3321
Greatest Common Factor
We found the factors 21,3321 . The biggest common factor number is the GCF number.
So the greatest common factor 21,3321 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 421/21, 554/3321?
Answer: LCM of Numerators as per given numbers 421/21, 554/3321 is
LCM of Numerators i.e. for 421,554 is 233234
GCF of denominators i.e. for 21,3321 is 3.
Thus, LCM of Fractions is 233234/3.Finally, LCM of Fractions for 421/21, 554/3321 is 233234/3.