Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/73, 90/60, 80/74, 68/858 quickly i.e. 134640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/73, 90/60, 80/74, 68/858 is 134640.
LCM(11/73, 90/60, 80/74, 68/858) = 134640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/73,90/60,80/74,68/858
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 11,90,80,68
Least Common Multiple of Numerators i.e. LCM of 11,90,80,68 is 134640.
GCF of Denominators means GCF of 73,60,74,858 as per the given fractions.
GCF of 73,60,74,858 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,90,80,68
2 | 11, 90, 80, 68 |
2 | 11, 45, 40, 34 |
5 | 11, 45, 20, 17 |
11, 9, 4, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 9 x 4 x 17 = 134640
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 11,90,80,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,90,80,68) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(11,90,80,68) x common factors =1 x 40 = 40
LCM(11,90,80,68) = ( 11 × 90 × 80 × 68 ) / 40
LCM(11,90,80,68) = 5385600 / 40
LCM(11,90,80,68) = 134640
Lets's calculate GCF of 73,60,74,858
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134640/1
Therefore the LCM of Fractions 11/73,90/60,80/74,68/858 is 134640
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 73,60,74,858 . The biggest common factor number is the GCF number.
So the greatest common factor 73,60,74,858 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 11/73, 90/60, 80/74, 68/858?
Answer: LCM of Numerators as per given numbers 11/73, 90/60, 80/74, 68/858 is
LCM of Numerators i.e. for 11,90,80,68 is 134640
GCF of denominators i.e. for 73,60,74,858 is 1.
Thus, LCM of Fractions is 134640.Finally, LCM of Fractions for 11/73, 90/60, 80/74, 68/858 is 134640.