Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/904, 60/608, 852/725 quickly i.e. 12780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/904, 60/608, 852/725 is 12780.
LCM(18/904, 60/608, 852/725) = 12780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/904,60/608,852/725
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 18,60,852
Least Common Multiple of Numerators i.e. LCM of 18,60,852 is 12780.
GCF of Denominators means GCF of 904,608,725 as per the given fractions.
GCF of 904,608,725 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,60,852
2 | 18, 60, 852 |
2 | 9, 30, 426 |
3 | 9, 15, 213 |
3, 5, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 71 = 12780
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 18,60,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,60,852) = 6
common factors(in case of two or more numbers have common factors) = 12
GCF(18,60,852) x common factors =6 x 12 = 72
LCM(18,60,852) = ( 18 × 60 × 852 ) / 72
LCM(18,60,852) = 920160 / 72
LCM(18,60,852) = 12780
Lets's calculate GCF of 904,608,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12780/1
Therefore the LCM of Fractions 18/904,60/608,852/725 is 12780
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Greatest Common Factor
We found the factors 904,608,725 . The biggest common factor number is the GCF number.
So the greatest common factor 904,608,725 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 18/904, 60/608, 852/725?
Answer: LCM of Numerators as per given numbers 18/904, 60/608, 852/725 is
LCM of Numerators i.e. for 18,60,852 is 12780
GCF of denominators i.e. for 904,608,725 is 1.
Thus, LCM of Fractions is 12780.Finally, LCM of Fractions for 18/904, 60/608, 852/725 is 12780.