Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/711, 31/506, 185/473 quickly i.e. 235135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/711, 31/506, 185/473 is 235135.
LCM(41/711, 31/506, 185/473) = 235135
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/711,31/506,185/473
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 41,31,185
Least Common Multiple of Numerators i.e. LCM of 41,31,185 is 235135.
GCF of Denominators means GCF of 711,506,473 as per the given fractions.
GCF of 711,506,473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,31,185
Given numbers has no common factors except 1. So, there LCM is their product i.e 235135
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 41,31,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,31,185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,31,185) x common factors =1 x 1 = 1
LCM(41,31,185) = ( 41 × 31 × 185 ) / 1
LCM(41,31,185) = 235135 / 1
LCM(41,31,185) = 235135
Lets's calculate GCF of 711,506,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235135/1
Therefore the LCM of Fractions 41/711,31/506,185/473 is 235135
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
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 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 711,506,473 . The biggest common factor number is the GCF number.
So the greatest common factor 711,506,473 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 41/711, 31/506, 185/473?
Answer: LCM of Numerators as per given numbers 41/711, 31/506, 185/473 is
LCM of Numerators i.e. for 41,31,185 is 235135
GCF of denominators i.e. for 711,506,473 is 1.
Thus, LCM of Fractions is 235135.Finally, LCM of Fractions for 41/711, 31/506, 185/473 is 235135.