Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 451/898, 564/449 quickly i.e. 254364/449 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 451/898, 564/449 is 254364/449.
LCM(451/898, 564/449) = 254364/449
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 451/898,564/449
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 451,564
Least Common Multiple of Numerators i.e. LCM of 451,564 is 254364.
GCF of Denominators means GCF of 898,449 as per the given fractions.
GCF of 898,449 is 449 as it is the largest common factor for these numbers.
Lets's calculate LCM of 451,564
Given numbers has no common factors except 1. So, there LCM is their product i.e 254364
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 451,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,564) x common factors =1 x 1 = 1
LCM(451,564) = ( 451 × 564 ) / 1
LCM(451,564) = 254364 / 1
LCM(451,564) = 254364
Lets's calculate GCF of 898,449
449 | 898, 449 |
2, 1 |
∴ So the GCF of the given numbers is 449 = 449
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254364/449
Therefore the LCM of Fractions 451/898,564/449 is 254364/449
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
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 898,449 . The biggest common factor number is the GCF number.
So the greatest common factor 898,449 is 449.
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 451/898, 564/449?
Answer: LCM of Numerators as per given numbers 451/898, 564/449 is
LCM of Numerators i.e. for 451,564 is 254364
GCF of denominators i.e. for 898,449 is 449.
Thus, LCM of Fractions is 254364/449.Finally, LCM of Fractions for 451/898, 564/449 is 254364/449.