Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/927, 23/506, 185/251 quickly i.e. 63825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/927, 23/506, 185/251 is 63825.
LCM(75/927, 23/506, 185/251) = 63825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/927,23/506,185/251
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 75,23,185
Least Common Multiple of Numerators i.e. LCM of 75,23,185 is 63825.
GCF of Denominators means GCF of 927,506,251 as per the given fractions.
GCF of 927,506,251 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,23,185
5 | 75, 23, 185 |
15, 23, 37 |
∴ So the LCM of the given numbers is 5 x 15 x 23 x 37 = 63825
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 75,23,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,23,185) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(75,23,185) x common factors =1 x 5 = 5
LCM(75,23,185) = ( 75 × 23 × 185 ) / 5
LCM(75,23,185) = 319125 / 5
LCM(75,23,185) = 63825
Lets's calculate GCF of 927,506,251
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63825/1
Therefore the LCM of Fractions 75/927,23/506,185/251 is 63825
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Greatest Common Factor
We found the factors 927,506,251 . The biggest common factor number is the GCF number.
So the greatest common factor 927,506,251 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 75/927, 23/506, 185/251?
Answer: LCM of Numerators as per given numbers 75/927, 23/506, 185/251 is
LCM of Numerators i.e. for 75,23,185 is 63825
GCF of denominators i.e. for 927,506,251 is 1.
Thus, LCM of Fractions is 63825.Finally, LCM of Fractions for 75/927, 23/506, 185/251 is 63825.