Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/325, 227/15, 999/974 quickly i.e. 15420564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/325, 227/15, 999/974 is 15420564.
LCM(68/325, 227/15, 999/974) = 15420564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/325,227/15,999/974
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 68,227,999
Least Common Multiple of Numerators i.e. LCM of 68,227,999 is 15420564.
GCF of Denominators means GCF of 325,15,974 as per the given fractions.
GCF of 325,15,974 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,227,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 15420564
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 68,227,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,227,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,227,999) x common factors =1 x 1 = 1
LCM(68,227,999) = ( 68 × 227 × 999 ) / 1
LCM(68,227,999) = 15420564 / 1
LCM(68,227,999) = 15420564
Lets's calculate GCF of 325,15,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15420564/1
Therefore the LCM of Fractions 68/325,227/15,999/974 is 15420564
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 325,15,974 . The biggest common factor number is the GCF number.
So the greatest common factor 325,15,974 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 68/325, 227/15, 999/974?
Answer: LCM of Numerators as per given numbers 68/325, 227/15, 999/974 is
LCM of Numerators i.e. for 68,227,999 is 15420564
GCF of denominators i.e. for 325,15,974 is 1.
Thus, LCM of Fractions is 15420564.Finally, LCM of Fractions for 68/325, 227/15, 999/974 is 15420564.