Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 969/186, 417/619 quickly i.e. 134691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 969/186, 417/619 is 134691.
LCM(969/186, 417/619) = 134691
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 969/186,417/619
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 969,417
Least Common Multiple of Numerators i.e. LCM of 969,417 is 134691.
GCF of Denominators means GCF of 186,619 as per the given fractions.
GCF of 186,619 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 969,417
3 | 969, 417 |
323, 139 |
∴ So the LCM of the given numbers is 3 x 323 x 139 = 134691
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 969,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,417) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(969,417) x common factors =3 x 1 = 3
LCM(969,417) = ( 969 × 417 ) / 3
LCM(969,417) = 404073 / 3
LCM(969,417) = 134691
Lets's calculate GCF of 186,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134691/1
Therefore the LCM of Fractions 969/186,417/619 is 134691
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Greatest Common Factor
We found the factors 186,619 . The biggest common factor number is the GCF number.
So the greatest common factor 186,619 is 1.
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 969/186, 417/619?
Answer: LCM of Numerators as per given numbers 969/186, 417/619 is
LCM of Numerators i.e. for 969,417 is 134691
GCF of denominators i.e. for 186,619 is 1.
Thus, LCM of Fractions is 134691.Finally, LCM of Fractions for 969/186, 417/619 is 134691.