Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2235/186, 8933/1251 quickly i.e. 6655085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2235/186, 8933/1251 is 6655085.
LCM(2235/186, 8933/1251) = 6655085
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2235/186,8933/1251
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 2235,8933
Least Common Multiple of Numerators i.e. LCM of 2235,8933 is 19965255.
GCF of Denominators means GCF of 186,1251 as per the given fractions.
GCF of 186,1251 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2235,8933
Given numbers has no common factors except 1. So, there LCM is their product i.e 19965255
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 2235,8933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2235,8933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2235,8933) x common factors =1 x 1 = 1
LCM(2235,8933) = ( 2235 × 8933 ) / 1
LCM(2235,8933) = 19965255 / 1
LCM(2235,8933) = 19965255
Lets's calculate GCF of 186,1251
3 | 186, 1251 |
62, 417 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19965255/3
Therefore the LCM of Fractions 2235/186,8933/1251 is 6655085
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 1251
List of positive integer factors of 1251 that divides 1251 without a remainder.
1,3,9,139,417,1251
Greatest Common Factor
We found the factors 186,1251 . The biggest common factor number is the GCF number.
So the greatest common factor 186,1251 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 2235/186, 8933/1251?
Answer: LCM of Numerators as per given numbers 2235/186, 8933/1251 is
LCM of Numerators i.e. for 2235,8933 is 19965255
GCF of denominators i.e. for 186,1251 is 3.
Thus, LCM of Fractions is 6655085.Finally, LCM of Fractions for 2235/186, 8933/1251 is 6655085.