Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/19, 31/22, 181/709 quickly i.e. 488157 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/19, 31/22, 181/709 is 488157.
LCM(87/19, 31/22, 181/709) = 488157
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/19,31/22,181/709
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 87,31,181
Least Common Multiple of Numerators i.e. LCM of 87,31,181 is 488157.
GCF of Denominators means GCF of 19,22,709 as per the given fractions.
GCF of 19,22,709 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,31,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 488157
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 87,31,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,31,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,31,181) x common factors =1 x 1 = 1
LCM(87,31,181) = ( 87 × 31 × 181 ) / 1
LCM(87,31,181) = 488157 / 1
LCM(87,31,181) = 488157
Lets's calculate GCF of 19,22,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488157/1
Therefore the LCM of Fractions 87/19,31/22,181/709 is 488157
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Greatest Common Factor
We found the factors 19,22,709 . The biggest common factor number is the GCF number.
So the greatest common factor 19,22,709 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 87/19, 31/22, 181/709?
Answer: LCM of Numerators as per given numbers 87/19, 31/22, 181/709 is
LCM of Numerators i.e. for 87,31,181 is 488157
GCF of denominators i.e. for 19,22,709 is 1.
Thus, LCM of Fractions is 488157.Finally, LCM of Fractions for 87/19, 31/22, 181/709 is 488157.