Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/45, 91/86, 949/171 quickly i.e. 624442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/45, 91/86, 949/171 is 624442.
LCM(94/45, 91/86, 949/171) = 624442
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/45,91/86,949/171
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 94,91,949
Least Common Multiple of Numerators i.e. LCM of 94,91,949 is 624442.
GCF of Denominators means GCF of 45,86,171 as per the given fractions.
GCF of 45,86,171 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,91,949
13 | 94, 91, 949 |
94, 7, 73 |
∴ So the LCM of the given numbers is 13 x 94 x 7 x 73 = 624442
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 94,91,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,91,949) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(94,91,949) x common factors =1 x 13 = 13
LCM(94,91,949) = ( 94 × 91 × 949 ) / 13
LCM(94,91,949) = 8117746 / 13
LCM(94,91,949) = 624442
Lets's calculate GCF of 45,86,171
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 624442/1
Therefore the LCM of Fractions 94/45,91/86,949/171 is 624442
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Greatest Common Factor
We found the factors 45,86,171 . The biggest common factor number is the GCF number.
So the greatest common factor 45,86,171 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 94/45, 91/86, 949/171?
Answer: LCM of Numerators as per given numbers 94/45, 91/86, 949/171 is
LCM of Numerators i.e. for 94,91,949 is 624442
GCF of denominators i.e. for 45,86,171 is 1.
Thus, LCM of Fractions is 624442.Finally, LCM of Fractions for 94/45, 91/86, 949/171 is 624442.