Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 417/94, 986/1530 quickly i.e. 205581 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 417/94, 986/1530 is 205581.
LCM(417/94, 986/1530) = 205581
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 417/94,986/1530
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 417,986
Least Common Multiple of Numerators i.e. LCM of 417,986 is 411162.
GCF of Denominators means GCF of 94,1530 as per the given fractions.
GCF of 94,1530 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 417,986
Given numbers has no common factors except 1. So, there LCM is their product i.e 411162
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 417,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,986) x common factors =1 x 1 = 1
LCM(417,986) = ( 417 × 986 ) / 1
LCM(417,986) = 411162 / 1
LCM(417,986) = 411162
Lets's calculate GCF of 94,1530
2 | 94, 1530 |
47, 765 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411162/2
Therefore the LCM of Fractions 417/94,986/1530 is 205581
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 1530
List of positive integer factors of 1530 that divides 1530 without a remainder.
1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530
Greatest Common Factor
We found the factors 94,1530 . The biggest common factor number is the GCF number.
So the greatest common factor 94,1530 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 417/94, 986/1530?
Answer: LCM of Numerators as per given numbers 417/94, 986/1530 is
LCM of Numerators i.e. for 417,986 is 411162
GCF of denominators i.e. for 94,1530 is 2.
Thus, LCM of Fractions is 205581.Finally, LCM of Fractions for 417/94, 986/1530 is 205581.