Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/648, 68/656, 536/820 quickly i.e. 2278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/648, 68/656, 536/820 is 2278.
LCM(17/648, 68/656, 536/820) = 2278
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/648,68/656,536/820
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 17,68,536
Least Common Multiple of Numerators i.e. LCM of 17,68,536 is 9112.
GCF of Denominators means GCF of 648,656,820 as per the given fractions.
GCF of 648,656,820 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,68,536
2 | 17, 68, 536 |
2 | 17, 34, 268 |
17 | 17, 17, 134 |
1, 1, 134 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 1 x 134 = 9112
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 17,68,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,68,536) = 1
common factors(in case of two or more numbers have common factors) = 68
GCF(17,68,536) x common factors =1 x 68 = 68
LCM(17,68,536) = ( 17 × 68 × 536 ) / 68
LCM(17,68,536) = 619616 / 68
LCM(17,68,536) = 9112
Lets's calculate GCF of 648,656,820
2 | 648, 656, 820 |
2 | 324, 328, 410 |
162, 164, 205 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9112/4
Therefore the LCM of Fractions 17/648,68/656,536/820 is 2278
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 648,656,820 . The biggest common factor number is the GCF number.
So the greatest common factor 648,656,820 is 4.
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 17/648, 68/656, 536/820?
Answer: LCM of Numerators as per given numbers 17/648, 68/656, 536/820 is
LCM of Numerators i.e. for 17,68,536 is 9112
GCF of denominators i.e. for 648,656,820 is 4.
Thus, LCM of Fractions is 2278.Finally, LCM of Fractions for 17/648, 68/656, 536/820 is 2278.