Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 921/531, 4359/449 quickly i.e. 1338213 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 921/531, 4359/449 is 1338213.
LCM(921/531, 4359/449) = 1338213
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 921/531,4359/449
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 921,4359
Least Common Multiple of Numerators i.e. LCM of 921,4359 is 1338213.
GCF of Denominators means GCF of 531,449 as per the given fractions.
GCF of 531,449 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 921,4359
3 | 921, 4359 |
307, 1453 |
∴ So the LCM of the given numbers is 3 x 307 x 1453 = 1338213
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 921,4359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,4359) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,4359) x common factors =3 x 1 = 3
LCM(921,4359) = ( 921 × 4359 ) / 3
LCM(921,4359) = 4014639 / 3
LCM(921,4359) = 1338213
Lets's calculate GCF of 531,449
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1338213/1
Therefore the LCM of Fractions 921/531,4359/449 is 1338213
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Greatest Common Factor
We found the factors 531,449 . The biggest common factor number is the GCF number.
So the greatest common factor 531,449 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 921/531, 4359/449?
Answer: LCM of Numerators as per given numbers 921/531, 4359/449 is
LCM of Numerators i.e. for 921,4359 is 1338213
GCF of denominators i.e. for 531,449 is 1.
Thus, LCM of Fractions is 1338213.Finally, LCM of Fractions for 921/531, 4359/449 is 1338213.