Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 864/36, 517/21, 663/602 quickly i.e. 98718048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 864/36, 517/21, 663/602 is 98718048.
LCM(864/36, 517/21, 663/602) = 98718048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 864/36,517/21,663/602
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 864,517,663
Least Common Multiple of Numerators i.e. LCM of 864,517,663 is 98718048.
GCF of Denominators means GCF of 36,21,602 as per the given fractions.
GCF of 36,21,602 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 864,517,663
3 | 864, 517, 663 |
288, 517, 221 |
∴ So the LCM of the given numbers is 3 x 288 x 517 x 221 = 98718048
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 864,517,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,517,663) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(864,517,663) x common factors =1 x 3 = 3
LCM(864,517,663) = ( 864 × 517 × 663 ) / 3
LCM(864,517,663) = 296154144 / 3
LCM(864,517,663) = 98718048
Lets's calculate GCF of 36,21,602
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98718048/1
Therefore the LCM of Fractions 864/36,517/21,663/602 is 98718048
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 36,21,602 . The biggest common factor number is the GCF number.
So the greatest common factor 36,21,602 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 864/36, 517/21, 663/602?
Answer: LCM of Numerators as per given numbers 864/36, 517/21, 663/602 is
LCM of Numerators i.e. for 864,517,663 is 98718048
GCF of denominators i.e. for 36,21,602 is 1.
Thus, LCM of Fractions is 98718048.Finally, LCM of Fractions for 864/36, 517/21, 663/602 is 98718048.