Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3620/118, 9733/446 quickly i.e. 17616730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3620/118, 9733/446 is 17616730.
LCM(3620/118, 9733/446) = 17616730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3620/118,9733/446
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 3620,9733
Least Common Multiple of Numerators i.e. LCM of 3620,9733 is 35233460.
GCF of Denominators means GCF of 118,446 as per the given fractions.
GCF of 118,446 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3620,9733
Given numbers has no common factors except 1. So, there LCM is their product i.e 35233460
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 3620,9733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3620,9733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3620,9733) x common factors =1 x 1 = 1
LCM(3620,9733) = ( 3620 × 9733 ) / 1
LCM(3620,9733) = 35233460 / 1
LCM(3620,9733) = 35233460
Lets's calculate GCF of 118,446
2 | 118, 446 |
59, 223 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35233460/2
Therefore the LCM of Fractions 3620/118,9733/446 is 17616730
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 118,446 . The biggest common factor number is the GCF number.
So the greatest common factor 118,446 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 3620/118, 9733/446?
Answer: LCM of Numerators as per given numbers 3620/118, 9733/446 is
LCM of Numerators i.e. for 3620,9733 is 35233460
GCF of denominators i.e. for 118,446 is 2.
Thus, LCM of Fractions is 17616730.Finally, LCM of Fractions for 3620/118, 9733/446 is 17616730.