Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 367/912, 8650/1623 quickly i.e. 3174550/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 367/912, 8650/1623 is 3174550/3.
LCM(367/912, 8650/1623) = 3174550/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 367/912,8650/1623
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 367,8650
Least Common Multiple of Numerators i.e. LCM of 367,8650 is 3174550.
GCF of Denominators means GCF of 912,1623 as per the given fractions.
GCF of 912,1623 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 367,8650
Given numbers has no common factors except 1. So, there LCM is their product i.e 3174550
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 367,8650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,8650) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,8650) x common factors =1 x 1 = 1
LCM(367,8650) = ( 367 × 8650 ) / 1
LCM(367,8650) = 3174550 / 1
LCM(367,8650) = 3174550
Lets's calculate GCF of 912,1623
3 | 912, 1623 |
304, 541 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3174550/3
Therefore the LCM of Fractions 367/912,8650/1623 is 3174550/3
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 1623
List of positive integer factors of 1623 that divides 1623 without a remainder.
1,3,541,1623
Greatest Common Factor
We found the factors 912,1623 . The biggest common factor number is the GCF number.
So the greatest common factor 912,1623 is 3.
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 367/912, 8650/1623?
Answer: LCM of Numerators as per given numbers 367/912, 8650/1623 is
LCM of Numerators i.e. for 367,8650 is 3174550
GCF of denominators i.e. for 912,1623 is 3.
Thus, LCM of Fractions is 3174550/3.Finally, LCM of Fractions for 367/912, 8650/1623 is 3174550/3.