Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 865/688, 4990/9685 quickly i.e. 863270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 865/688, 4990/9685 is 863270.
LCM(865/688, 4990/9685) = 863270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 865/688,4990/9685
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 865,4990
Least Common Multiple of Numerators i.e. LCM of 865,4990 is 863270.
GCF of Denominators means GCF of 688,9685 as per the given fractions.
GCF of 688,9685 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 865,4990
5 | 865, 4990 |
173, 998 |
∴ So the LCM of the given numbers is 5 x 173 x 998 = 863270
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 865,4990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,4990) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,4990) x common factors =5 x 1 = 5
LCM(865,4990) = ( 865 × 4990 ) / 5
LCM(865,4990) = 4316350 / 5
LCM(865,4990) = 863270
Lets's calculate GCF of 688,9685
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 863270/1
Therefore the LCM of Fractions 865/688,4990/9685 is 863270
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 9685
List of positive integer factors of 9685 that divides 9685 without a remainder.
1,5,13,65,149,745,1937,9685
Greatest Common Factor
We found the factors 688,9685 . The biggest common factor number is the GCF number.
So the greatest common factor 688,9685 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 865/688, 4990/9685?
Answer: LCM of Numerators as per given numbers 865/688, 4990/9685 is
LCM of Numerators i.e. for 865,4990 is 863270
GCF of denominators i.e. for 688,9685 is 1.
Thus, LCM of Fractions is 863270.Finally, LCM of Fractions for 865/688, 4990/9685 is 863270.