Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/714, 68/486, 24/815 quickly i.e. 408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/714, 68/486, 24/815 is 408.
LCM(8/714, 68/486, 24/815) = 408
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/714,68/486,24/815
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 8,68,24
Least Common Multiple of Numerators i.e. LCM of 8,68,24 is 408.
GCF of Denominators means GCF of 714,486,815 as per the given fractions.
GCF of 714,486,815 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,68,24
2 | 8, 68, 24 |
2 | 4, 34, 12 |
2 | 2, 17, 6 |
1, 17, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 17 x 3 = 408
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 8,68,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,68,24) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(8,68,24) x common factors =4 x 8 = 32
LCM(8,68,24) = ( 8 × 68 × 24 ) / 32
LCM(8,68,24) = 13056 / 32
LCM(8,68,24) = 408
Lets's calculate GCF of 714,486,815
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408/1
Therefore the LCM of Fractions 8/714,68/486,24/815 is 408
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Greatest Common Factor
We found the factors 714,486,815 . The biggest common factor number is the GCF number.
So the greatest common factor 714,486,815 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 8/714, 68/486, 24/815?
Answer: LCM of Numerators as per given numbers 8/714, 68/486, 24/815 is
LCM of Numerators i.e. for 8,68,24 is 408
GCF of denominators i.e. for 714,486,815 is 1.
Thus, LCM of Fractions is 408.Finally, LCM of Fractions for 8/714, 68/486, 24/815 is 408.