Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/955, 927/171, 602/500 quickly i.e. 13951350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/955, 927/171, 602/500 is 13951350.
LCM(50/955, 927/171, 602/500) = 13951350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/955,927/171,602/500
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 50,927,602
Least Common Multiple of Numerators i.e. LCM of 50,927,602 is 13951350.
GCF of Denominators means GCF of 955,171,500 as per the given fractions.
GCF of 955,171,500 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,927,602
2 | 50, 927, 602 |
25, 927, 301 |
∴ So the LCM of the given numbers is 2 x 25 x 927 x 301 = 13951350
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 50,927,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,927,602) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,927,602) x common factors =1 x 2 = 2
LCM(50,927,602) = ( 50 × 927 × 602 ) / 2
LCM(50,927,602) = 27902700 / 2
LCM(50,927,602) = 13951350
Lets's calculate GCF of 955,171,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13951350/1
Therefore the LCM of Fractions 50/955,927/171,602/500 is 13951350
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 955,171,500 . The biggest common factor number is the GCF number.
So the greatest common factor 955,171,500 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 50/955, 927/171, 602/500?
Answer: LCM of Numerators as per given numbers 50/955, 927/171, 602/500 is
LCM of Numerators i.e. for 50,927,602 is 13951350
GCF of denominators i.e. for 955,171,500 is 1.
Thus, LCM of Fractions is 13951350.Finally, LCM of Fractions for 50/955, 927/171, 602/500 is 13951350.