Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/86, 81/111, 72/250 quickly i.e. 648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/86, 81/111, 72/250 is 648.
LCM(1/86, 81/111, 72/250) = 648
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/86,81/111,72/250
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 1,81,72
Least Common Multiple of Numerators i.e. LCM of 1,81,72 is 648.
GCF of Denominators means GCF of 86,111,250 as per the given fractions.
GCF of 86,111,250 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,81,72
3 | 1, 81, 72 |
3 | 1, 27, 24 |
1, 9, 8 |
∴ So the LCM of the given numbers is 3 x 3 x 1 x 9 x 8 = 648
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 1,81,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,81,72) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(1,81,72) x common factors =1 x 9 = 9
LCM(1,81,72) = ( 1 × 81 × 72 ) / 9
LCM(1,81,72) = 5832 / 9
LCM(1,81,72) = 648
Lets's calculate GCF of 86,111,250
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 648/1
Therefore the LCM of Fractions 1/86,81/111,72/250 is 648
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 86,111,250 . The biggest common factor number is the GCF number.
So the greatest common factor 86,111,250 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 1/86, 81/111, 72/250?
Answer: LCM of Numerators as per given numbers 1/86, 81/111, 72/250 is
LCM of Numerators i.e. for 1,81,72 is 648
GCF of denominators i.e. for 86,111,250 is 1.
Thus, LCM of Fractions is 648.Finally, LCM of Fractions for 1/86, 81/111, 72/250 is 648.