Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/180, 741/519, 885/360 quickly i.e. 2258815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/180, 741/519, 885/360 is 2258815.
LCM(93/180, 741/519, 885/360) = 2258815
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/180,741/519,885/360
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 93,741,885
Least Common Multiple of Numerators i.e. LCM of 93,741,885 is 6776445.
GCF of Denominators means GCF of 180,519,360 as per the given fractions.
GCF of 180,519,360 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,741,885
3 | 93, 741, 885 |
31, 247, 295 |
∴ So the LCM of the given numbers is 3 x 31 x 247 x 295 = 6776445
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 93,741,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,741,885) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(93,741,885) x common factors =3 x 3 = 9
LCM(93,741,885) = ( 93 × 741 × 885 ) / 9
LCM(93,741,885) = 60988005 / 9
LCM(93,741,885) = 6776445
Lets's calculate GCF of 180,519,360
3 | 180, 519, 360 |
60, 173, 120 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6776445/3
Therefore the LCM of Fractions 93/180,741/519,885/360 is 2258815
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 180,519,360 . The biggest common factor number is the GCF number.
So the greatest common factor 180,519,360 is 3.
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 93/180, 741/519, 885/360?
Answer: LCM of Numerators as per given numbers 93/180, 741/519, 885/360 is
LCM of Numerators i.e. for 93,741,885 is 6776445
GCF of denominators i.e. for 180,519,360 is 3.
Thus, LCM of Fractions is 2258815.Finally, LCM of Fractions for 93/180, 741/519, 885/360 is 2258815.