Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/20, 93/59, 88/62, 86/889 quickly i.e. 1759560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/20, 93/59, 88/62, 86/889 is 1759560.
LCM(15/20, 93/59, 88/62, 86/889) = 1759560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/20,93/59,88/62,86/889
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 15,93,88,86
Least Common Multiple of Numerators i.e. LCM of 15,93,88,86 is 1759560.
GCF of Denominators means GCF of 20,59,62,889 as per the given fractions.
GCF of 20,59,62,889 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,93,88,86
2 | 15, 93, 88, 86 |
3 | 15, 93, 44, 43 |
5, 31, 44, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 44 x 43 = 1759560
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 15,93,88,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,93,88,86) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(15,93,88,86) x common factors =1 x 6 = 6
LCM(15,93,88,86) = ( 15 × 93 × 88 × 86 ) / 6
LCM(15,93,88,86) = 10557360 / 6
LCM(15,93,88,86) = 1759560
Lets's calculate GCF of 20,59,62,889
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1759560/1
Therefore the LCM of Fractions 15/20,93/59,88/62,86/889 is 1759560
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Greatest Common Factor
We found the factors 20,59,62,889 . The biggest common factor number is the GCF number.
So the greatest common factor 20,59,62,889 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 15/20, 93/59, 88/62, 86/889?
Answer: LCM of Numerators as per given numbers 15/20, 93/59, 88/62, 86/889 is
LCM of Numerators i.e. for 15,93,88,86 is 1759560
GCF of denominators i.e. for 20,59,62,889 is 1.
Thus, LCM of Fractions is 1759560.Finally, LCM of Fractions for 15/20, 93/59, 88/62, 86/889 is 1759560.