Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/99, 25/56, 59/120 quickly i.e. 100300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/99, 25/56, 59/120 is 100300.
LCM(68/99, 25/56, 59/120) = 100300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/99,25/56,59/120
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 68,25,59
Least Common Multiple of Numerators i.e. LCM of 68,25,59 is 100300.
GCF of Denominators means GCF of 99,56,120 as per the given fractions.
GCF of 99,56,120 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,25,59
Given numbers has no common factors except 1. So, there LCM is their product i.e 100300
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 68,25,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,25,59) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,25,59) x common factors =1 x 1 = 1
LCM(68,25,59) = ( 68 × 25 × 59 ) / 1
LCM(68,25,59) = 100300 / 1
LCM(68,25,59) = 100300
Lets's calculate GCF of 99,56,120
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100300/1
Therefore the LCM of Fractions 68/99,25/56,59/120 is 100300
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 99,56,120 . The biggest common factor number is the GCF number.
So the greatest common factor 99,56,120 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 68/99, 25/56, 59/120?
Answer: LCM of Numerators as per given numbers 68/99, 25/56, 59/120 is
LCM of Numerators i.e. for 68,25,59 is 100300
GCF of denominators i.e. for 99,56,120 is 1.
Thus, LCM of Fractions is 100300.Finally, LCM of Fractions for 68/99, 25/56, 59/120 is 100300.