Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/18, 85/76, 90/73, 68/651 quickly i.e. 33660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/18, 85/76, 90/73, 68/651 is 33660.
LCM(55/18, 85/76, 90/73, 68/651) = 33660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/18,85/76,90/73,68/651
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 55,85,90,68
Least Common Multiple of Numerators i.e. LCM of 55,85,90,68 is 33660.
GCF of Denominators means GCF of 18,76,73,651 as per the given fractions.
GCF of 18,76,73,651 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,85,90,68
2 | 55, 85, 90, 68 |
5 | 55, 85, 45, 34 |
17 | 11, 17, 9, 34 |
11, 1, 9, 2 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 11 x 1 x 9 x 2 = 33660
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 55,85,90,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,85,90,68) = 1
common factors(in case of two or more numbers have common factors) = 850
GCF(55,85,90,68) x common factors =1 x 850 = 850
LCM(55,85,90,68) = ( 55 × 85 × 90 × 68 ) / 850
LCM(55,85,90,68) = 28611000 / 850
LCM(55,85,90,68) = 33660
Lets's calculate GCF of 18,76,73,651
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33660/1
Therefore the LCM of Fractions 55/18,85/76,90/73,68/651 is 33660
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Greatest Common Factor
We found the factors 18,76,73,651 . The biggest common factor number is the GCF number.
So the greatest common factor 18,76,73,651 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 55/18, 85/76, 90/73, 68/651?
Answer: LCM of Numerators as per given numbers 55/18, 85/76, 90/73, 68/651 is
LCM of Numerators i.e. for 55,85,90,68 is 33660
GCF of denominators i.e. for 18,76,73,651 is 1.
Thus, LCM of Fractions is 33660.Finally, LCM of Fractions for 55/18, 85/76, 90/73, 68/651 is 33660.