Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 472/942, 181/277, 205/520 quickly i.e. 17513560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 472/942, 181/277, 205/520 is 17513560.
LCM(472/942, 181/277, 205/520) = 17513560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 472/942,181/277,205/520
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 472,181,205
Least Common Multiple of Numerators i.e. LCM of 472,181,205 is 17513560.
GCF of Denominators means GCF of 942,277,520 as per the given fractions.
GCF of 942,277,520 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 472,181,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 17513560
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 472,181,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,181,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,181,205) x common factors =1 x 1 = 1
LCM(472,181,205) = ( 472 × 181 × 205 ) / 1
LCM(472,181,205) = 17513560 / 1
LCM(472,181,205) = 17513560
Lets's calculate GCF of 942,277,520
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17513560/1
Therefore the LCM of Fractions 472/942,181/277,205/520 is 17513560
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Greatest Common Factor
We found the factors 942,277,520 . The biggest common factor number is the GCF number.
So the greatest common factor 942,277,520 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 472/942, 181/277, 205/520?
Answer: LCM of Numerators as per given numbers 472/942, 181/277, 205/520 is
LCM of Numerators i.e. for 472,181,205 is 17513560
GCF of denominators i.e. for 942,277,520 is 1.
Thus, LCM of Fractions is 17513560.Finally, LCM of Fractions for 472/942, 181/277, 205/520 is 17513560.