Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6280/611, 9685/4186 quickly i.e. 935720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6280/611, 9685/4186 is 935720.
LCM(6280/611, 9685/4186) = 935720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6280/611,9685/4186
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 6280,9685
Least Common Multiple of Numerators i.e. LCM of 6280,9685 is 12164360.
GCF of Denominators means GCF of 611,4186 as per the given fractions.
GCF of 611,4186 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6280,9685
5 | 6280, 9685 |
1256, 1937 |
∴ So the LCM of the given numbers is 5 x 1256 x 1937 = 12164360
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 6280,9685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6280,9685) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(6280,9685) x common factors =5 x 1 = 5
LCM(6280,9685) = ( 6280 × 9685 ) / 5
LCM(6280,9685) = 60821800 / 5
LCM(6280,9685) = 12164360
Lets's calculate GCF of 611,4186
13 | 611, 4186 |
47, 322 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12164360/13
Therefore the LCM of Fractions 6280/611,9685/4186 is 935720
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 4186
List of positive integer factors of 4186 that divides 4186 without a remainder.
1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186
Greatest Common Factor
We found the factors 611,4186 . The biggest common factor number is the GCF number.
So the greatest common factor 611,4186 is 13.
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 6280/611, 9685/4186?
Answer: LCM of Numerators as per given numbers 6280/611, 9685/4186 is
LCM of Numerators i.e. for 6280,9685 is 12164360
GCF of denominators i.e. for 611,4186 is 13.
Thus, LCM of Fractions is 935720.Finally, LCM of Fractions for 6280/611, 9685/4186 is 935720.