Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/440, 6429/1845 quickly i.e. 212157/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/440, 6429/1845 is 212157/5.
LCM(99/440, 6429/1845) = 212157/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/440,6429/1845
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 99,6429
Least Common Multiple of Numerators i.e. LCM of 99,6429 is 212157.
GCF of Denominators means GCF of 440,1845 as per the given fractions.
GCF of 440,1845 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,6429
3 | 99, 6429 |
33, 2143 |
∴ So the LCM of the given numbers is 3 x 33 x 2143 = 212157
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 99,6429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,6429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(99,6429) x common factors =3 x 1 = 3
LCM(99,6429) = ( 99 × 6429 ) / 3
LCM(99,6429) = 636471 / 3
LCM(99,6429) = 212157
Lets's calculate GCF of 440,1845
5 | 440, 1845 |
88, 369 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212157/5
Therefore the LCM of Fractions 99/440,6429/1845 is 212157/5
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 1845
List of positive integer factors of 1845 that divides 1845 without a remainder.
1,3,5,9,15,41,45,123,205,369,615,1845
Greatest Common Factor
We found the factors 440,1845 . The biggest common factor number is the GCF number.
So the greatest common factor 440,1845 is 5.
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 99/440, 6429/1845?
Answer: LCM of Numerators as per given numbers 99/440, 6429/1845 is
LCM of Numerators i.e. for 99,6429 is 212157
GCF of denominators i.e. for 440,1845 is 5.
Thus, LCM of Fractions is 212157/5.Finally, LCM of Fractions for 99/440, 6429/1845 is 212157/5.