Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 902/622, 5453/649 quickly i.e. 119966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 902/622, 5453/649 is 119966.
LCM(902/622, 5453/649) = 119966
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 902/622,5453/649
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 902,5453
Least Common Multiple of Numerators i.e. LCM of 902,5453 is 119966.
GCF of Denominators means GCF of 622,649 as per the given fractions.
GCF of 622,649 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 902,5453
41 | 902, 5453 |
22, 133 |
∴ So the LCM of the given numbers is 41 x 22 x 133 = 119966
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 902,5453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,5453) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(902,5453) x common factors =41 x 1 = 41
LCM(902,5453) = ( 902 × 5453 ) / 41
LCM(902,5453) = 4918606 / 41
LCM(902,5453) = 119966
Lets's calculate GCF of 622,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119966/1
Therefore the LCM of Fractions 902/622,5453/649 is 119966
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 622,649 . The biggest common factor number is the GCF number.
So the greatest common factor 622,649 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 902/622, 5453/649?
Answer: LCM of Numerators as per given numbers 902/622, 5453/649 is
LCM of Numerators i.e. for 902,5453 is 119966
GCF of denominators i.e. for 622,649 is 1.
Thus, LCM of Fractions is 119966.Finally, LCM of Fractions for 902/622, 5453/649 is 119966.