Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 422/34, 367/1180 quickly i.e. 77437 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 422/34, 367/1180 is 77437.
LCM(422/34, 367/1180) = 77437
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 422/34,367/1180
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 422,367
Least Common Multiple of Numerators i.e. LCM of 422,367 is 154874.
GCF of Denominators means GCF of 34,1180 as per the given fractions.
GCF of 34,1180 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 422,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 154874
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 422,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,367) x common factors =1 x 1 = 1
LCM(422,367) = ( 422 × 367 ) / 1
LCM(422,367) = 154874 / 1
LCM(422,367) = 154874
Lets's calculate GCF of 34,1180
2 | 34, 1180 |
17, 590 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154874/2
Therefore the LCM of Fractions 422/34,367/1180 is 77437
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 1180
List of positive integer factors of 1180 that divides 1180 without a remainder.
1,2,4,5,10,20,59,118,236,295,590,1180
Greatest Common Factor
We found the factors 34,1180 . The biggest common factor number is the GCF number.
So the greatest common factor 34,1180 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 422/34, 367/1180?
Answer: LCM of Numerators as per given numbers 422/34, 367/1180 is
LCM of Numerators i.e. for 422,367 is 154874
GCF of denominators i.e. for 34,1180 is 2.
Thus, LCM of Fractions is 77437.Finally, LCM of Fractions for 422/34, 367/1180 is 77437.