Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 279/489, 2635/9652 quickly i.e. 23715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 279/489, 2635/9652 is 23715.
LCM(279/489, 2635/9652) = 23715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 279/489,2635/9652
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 279,2635
Least Common Multiple of Numerators i.e. LCM of 279,2635 is 23715.
GCF of Denominators means GCF of 489,9652 as per the given fractions.
GCF of 489,9652 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 279,2635
31 | 279, 2635 |
9, 85 |
∴ So the LCM of the given numbers is 31 x 9 x 85 = 23715
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 279,2635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,2635) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(279,2635) x common factors =31 x 1 = 31
LCM(279,2635) = ( 279 × 2635 ) / 31
LCM(279,2635) = 735165 / 31
LCM(279,2635) = 23715
Lets's calculate GCF of 489,9652
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23715/1
Therefore the LCM of Fractions 279/489,2635/9652 is 23715
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 9652
List of positive integer factors of 9652 that divides 9652 without a remainder.
1,2,4,19,38,76,127,254,508,2413,4826,9652
Greatest Common Factor
We found the factors 489,9652 . The biggest common factor number is the GCF number.
So the greatest common factor 489,9652 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 279/489, 2635/9652?
Answer: LCM of Numerators as per given numbers 279/489, 2635/9652 is
LCM of Numerators i.e. for 279,2635 is 23715
GCF of denominators i.e. for 489,9652 is 1.
Thus, LCM of Fractions is 23715.Finally, LCM of Fractions for 279/489, 2635/9652 is 23715.