Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/66, 1/43, 23/92, 85/159 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 4/66, 1/43, 23/92, 85/159 is 7820.
LCM(4/66, 1/43, 23/92, 85/159) = 7820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/66,1/43,23/92,85/159
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 4,1,23,85
Least Common Multiple of Numerators i.e. LCM of 4,1,23,85 is 7820.
GCF of Denominators means GCF of 66,43,92,159 as per the given fractions.
GCF of 66,43,92,159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,1,23,85
Given numbers has no common factors except 1. So, there LCM is their product i.e 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 4,1,23,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,1,23,85) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4,1,23,85) x common factors =1 x 1 = 1
LCM(4,1,23,85) = ( 4 × 1 × 23 × 85 ) / 1
LCM(4,1,23,85) = 7820 / 1
LCM(4,1,23,85) = 7820
Lets's calculate GCF of 66,43,92,159
∴ 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 4/66,1/43,23/92,85/159 is 7820
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 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 66,43,92,159 . The biggest common factor number is the GCF number.
So the greatest common factor 66,43,92,159 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 4/66, 1/43, 23/92, 85/159?
Answer: LCM of Numerators as per given numbers 4/66, 1/43, 23/92, 85/159 is
LCM of Numerators i.e. for 4,1,23,85 is 7820
GCF of denominators i.e. for 66,43,92,159 is 1.
Thus, LCM of Fractions is 7820.Finally, LCM of Fractions for 4/66, 1/43, 23/92, 85/159 is 7820.