Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 360/22, 8909/602 quickly i.e. 1603620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 360/22, 8909/602 is 1603620.
LCM(360/22, 8909/602) = 1603620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 360/22,8909/602
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 360,8909
Least Common Multiple of Numerators i.e. LCM of 360,8909 is 3207240.
GCF of Denominators means GCF of 22,602 as per the given fractions.
GCF of 22,602 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 360,8909
Given numbers has no common factors except 1. So, there LCM is their product i.e 3207240
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 360,8909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,8909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(360,8909) x common factors =1 x 1 = 1
LCM(360,8909) = ( 360 × 8909 ) / 1
LCM(360,8909) = 3207240 / 1
LCM(360,8909) = 3207240
Lets's calculate GCF of 22,602
2 | 22, 602 |
11, 301 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3207240/2
Therefore the LCM of Fractions 360/22,8909/602 is 1603620
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 22,602 . The biggest common factor number is the GCF number.
So the greatest common factor 22,602 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 360/22, 8909/602?
Answer: LCM of Numerators as per given numbers 360/22, 8909/602 is
LCM of Numerators i.e. for 360,8909 is 3207240
GCF of denominators i.e. for 22,602 is 2.
Thus, LCM of Fractions is 1603620.Finally, LCM of Fractions for 360/22, 8909/602 is 1603620.