Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/65, 46/84, 68/66, 23/566 quickly i.e. 7820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/65, 46/84, 68/66, 23/566 is 7820.
LCM(85/65, 46/84, 68/66, 23/566) = 7820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/65,46/84,68/66,23/566
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 85,46,68,23
Least Common Multiple of Numerators i.e. LCM of 85,46,68,23 is 7820.
GCF of Denominators means GCF of 65,84,66,566 as per the given fractions.
GCF of 65,84,66,566 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,46,68,23
2 | 85, 46, 68, 23 |
17 | 85, 23, 34, 23 |
23 | 5, 23, 2, 23 |
5, 1, 2, 1 |
∴ So the LCM of the given numbers is 2 x 17 x 23 x 5 x 1 x 2 x 1 = 7820
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 85,46,68,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,46,68,23) = 1
common factors(in case of two or more numbers have common factors) = 782
GCF(85,46,68,23) x common factors =1 x 782 = 782
LCM(85,46,68,23) = ( 85 × 46 × 68 × 23 ) / 782
LCM(85,46,68,23) = 6115240 / 782
LCM(85,46,68,23) = 7820
Lets's calculate GCF of 65,84,66,566
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7820/1
Therefore the LCM of Fractions 85/65,46/84,68/66,23/566 is 7820
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 65,84,66,566 . The biggest common factor number is the GCF number.
So the greatest common factor 65,84,66,566 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 85/65, 46/84, 68/66, 23/566?
Answer: LCM of Numerators as per given numbers 85/65, 46/84, 68/66, 23/566 is
LCM of Numerators i.e. for 85,46,68,23 is 7820
GCF of denominators i.e. for 65,84,66,566 is 1.
Thus, LCM of Fractions is 7820.Finally, LCM of Fractions for 85/65, 46/84, 68/66, 23/566 is 7820.