Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/351, 2955/7200 quickly i.e. 11820/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/351, 2955/7200 is 11820/9.
LCM(12/351, 2955/7200) = 11820/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/351,2955/7200
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 12,2955
Least Common Multiple of Numerators i.e. LCM of 12,2955 is 11820.
GCF of Denominators means GCF of 351,7200 as per the given fractions.
GCF of 351,7200 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,2955
3 | 12, 2955 |
4, 985 |
∴ So the LCM of the given numbers is 3 x 4 x 985 = 11820
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 12,2955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,2955) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(12,2955) x common factors =3 x 1 = 3
LCM(12,2955) = ( 12 × 2955 ) / 3
LCM(12,2955) = 35460 / 3
LCM(12,2955) = 11820
Lets's calculate GCF of 351,7200
3 | 351, 7200 |
3 | 117, 2400 |
39, 800 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11820/9
Therefore the LCM of Fractions 12/351,2955/7200 is 11820/9
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 7200
List of positive integer factors of 7200 that divides 7200 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,144,150,160,180,200,225,240,288,300,360,400,450,480,600,720,800,900,1200,1440,1800,2400,3600,7200
Greatest Common Factor
We found the factors 351,7200 . The biggest common factor number is the GCF number.
So the greatest common factor 351,7200 is 9.
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 12/351, 2955/7200?
Answer: LCM of Numerators as per given numbers 12/351, 2955/7200 is
LCM of Numerators i.e. for 12,2955 is 11820
GCF of denominators i.e. for 351,7200 is 9.
Thus, LCM of Fractions is 11820/9.Finally, LCM of Fractions for 12/351, 2955/7200 is 11820/9.