Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 609/60, 604/2282 quickly i.e. 183918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 609/60, 604/2282 is 183918.
LCM(609/60, 604/2282) = 183918
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 609/60,604/2282
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 609,604
Least Common Multiple of Numerators i.e. LCM of 609,604 is 367836.
GCF of Denominators means GCF of 60,2282 as per the given fractions.
GCF of 60,2282 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 609,604
Given numbers has no common factors except 1. So, there LCM is their product i.e 367836
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 609,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,604) x common factors =1 x 1 = 1
LCM(609,604) = ( 609 × 604 ) / 1
LCM(609,604) = 367836 / 1
LCM(609,604) = 367836
Lets's calculate GCF of 60,2282
2 | 60, 2282 |
30, 1141 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367836/2
Therefore the LCM of Fractions 609/60,604/2282 is 183918
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 2282
List of positive integer factors of 2282 that divides 2282 without a remainder.
1,2,7,14,163,326,1141,2282
Greatest Common Factor
We found the factors 60,2282 . The biggest common factor number is the GCF number.
So the greatest common factor 60,2282 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 609/60, 604/2282?
Answer: LCM of Numerators as per given numbers 609/60, 604/2282 is
LCM of Numerators i.e. for 609,604 is 367836
GCF of denominators i.e. for 60,2282 is 2.
Thus, LCM of Fractions is 183918.Finally, LCM of Fractions for 609/60, 604/2282 is 183918.