Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 909/553, 100/519, 366/629 quickly i.e. 5544900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 909/553, 100/519, 366/629 is 5544900.
LCM(909/553, 100/519, 366/629) = 5544900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 909/553,100/519,366/629
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 909,100,366
Least Common Multiple of Numerators i.e. LCM of 909,100,366 is 5544900.
GCF of Denominators means GCF of 553,519,629 as per the given fractions.
GCF of 553,519,629 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 909,100,366
2 | 909, 100, 366 |
3 | 909, 50, 183 |
303, 50, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 303 x 50 x 61 = 5544900
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 909,100,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,100,366) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(909,100,366) x common factors =1 x 6 = 6
LCM(909,100,366) = ( 909 × 100 × 366 ) / 6
LCM(909,100,366) = 33269400 / 6
LCM(909,100,366) = 5544900
Lets's calculate GCF of 553,519,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5544900/1
Therefore the LCM of Fractions 909/553,100/519,366/629 is 5544900
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Greatest Common Factor
We found the factors 553,519,629 . The biggest common factor number is the GCF number.
So the greatest common factor 553,519,629 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 909/553, 100/519, 366/629?
Answer: LCM of Numerators as per given numbers 909/553, 100/519, 366/629 is
LCM of Numerators i.e. for 909,100,366 is 5544900
GCF of denominators i.e. for 553,519,629 is 1.
Thus, LCM of Fractions is 5544900.Finally, LCM of Fractions for 909/553, 100/519, 366/629 is 5544900.