Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/86, 19/72, 64/84, 63/231 quickly i.e. 1915200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/86, 19/72, 64/84, 63/231 is 1915200.
LCM(25/86, 19/72, 64/84, 63/231) = 1915200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/86,19/72,64/84,63/231
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 25,19,64,63
Least Common Multiple of Numerators i.e. LCM of 25,19,64,63 is 1915200.
GCF of Denominators means GCF of 86,72,84,231 as per the given fractions.
GCF of 86,72,84,231 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,19,64,63
Given numbers has no common factors except 1. So, there LCM is their product i.e 1915200
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 25,19,64,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,19,64,63) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,19,64,63) x common factors =1 x 1 = 1
LCM(25,19,64,63) = ( 25 × 19 × 64 × 63 ) / 1
LCM(25,19,64,63) = 1915200 / 1
LCM(25,19,64,63) = 1915200
Lets's calculate GCF of 86,72,84,231
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1915200/1
Therefore the LCM of Fractions 25/86,19/72,64/84,63/231 is 1915200
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 86,72,84,231 . The biggest common factor number is the GCF number.
So the greatest common factor 86,72,84,231 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 25/86, 19/72, 64/84, 63/231?
Answer: LCM of Numerators as per given numbers 25/86, 19/72, 64/84, 63/231 is
LCM of Numerators i.e. for 25,19,64,63 is 1915200
GCF of denominators i.e. for 86,72,84,231 is 1.
Thus, LCM of Fractions is 1915200.Finally, LCM of Fractions for 25/86, 19/72, 64/84, 63/231 is 1915200.