Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 486/898, 5035/828 quickly i.e. 1223505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 486/898, 5035/828 is 1223505.
LCM(486/898, 5035/828) = 1223505
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 486/898,5035/828
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 486,5035
Least Common Multiple of Numerators i.e. LCM of 486,5035 is 2447010.
GCF of Denominators means GCF of 898,828 as per the given fractions.
GCF of 898,828 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 486,5035
Given numbers has no common factors except 1. So, there LCM is their product i.e 2447010
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 486,5035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,5035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(486,5035) x common factors =1 x 1 = 1
LCM(486,5035) = ( 486 × 5035 ) / 1
LCM(486,5035) = 2447010 / 1
LCM(486,5035) = 2447010
Lets's calculate GCF of 898,828
2 | 898, 828 |
449, 414 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2447010/2
Therefore the LCM of Fractions 486/898,5035/828 is 1223505
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 898,828 . The biggest common factor number is the GCF number.
So the greatest common factor 898,828 is 2.
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 486/898, 5035/828?
Answer: LCM of Numerators as per given numbers 486/898, 5035/828 is
LCM of Numerators i.e. for 486,5035 is 2447010
GCF of denominators i.e. for 898,828 is 2.
Thus, LCM of Fractions is 1223505.Finally, LCM of Fractions for 486/898, 5035/828 is 1223505.