Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/935, 45/970, 147/975 quickly i.e. 20286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/935, 45/970, 147/975 is 20286.
LCM(46/935, 45/970, 147/975) = 20286
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/935,45/970,147/975
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 46,45,147
Least Common Multiple of Numerators i.e. LCM of 46,45,147 is 101430.
GCF of Denominators means GCF of 935,970,975 as per the given fractions.
GCF of 935,970,975 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,45,147
3 | 46, 45, 147 |
46, 15, 49 |
∴ So the LCM of the given numbers is 3 x 46 x 15 x 49 = 101430
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 46,45,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,45,147) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(46,45,147) x common factors =1 x 3 = 3
LCM(46,45,147) = ( 46 × 45 × 147 ) / 3
LCM(46,45,147) = 304290 / 3
LCM(46,45,147) = 101430
Lets's calculate GCF of 935,970,975
5 | 935, 970, 975 |
187, 194, 195 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101430/5
Therefore the LCM of Fractions 46/935,45/970,147/975 is 20286
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 935,970,975 . The biggest common factor number is the GCF number.
So the greatest common factor 935,970,975 is 5.
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 46/935, 45/970, 147/975?
Answer: LCM of Numerators as per given numbers 46/935, 45/970, 147/975 is
LCM of Numerators i.e. for 46,45,147 is 101430
GCF of denominators i.e. for 935,970,975 is 5.
Thus, LCM of Fractions is 20286.Finally, LCM of Fractions for 46/935, 45/970, 147/975 is 20286.