Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 378/222, 8777/536 quickly i.e. 1658853 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 378/222, 8777/536 is 1658853.
LCM(378/222, 8777/536) = 1658853
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 378/222,8777/536
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 378,8777
Least Common Multiple of Numerators i.e. LCM of 378,8777 is 3317706.
GCF of Denominators means GCF of 222,536 as per the given fractions.
GCF of 222,536 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 378,8777
Given numbers has no common factors except 1. So, there LCM is their product i.e 3317706
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 378,8777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,8777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,8777) x common factors =1 x 1 = 1
LCM(378,8777) = ( 378 × 8777 ) / 1
LCM(378,8777) = 3317706 / 1
LCM(378,8777) = 3317706
Lets's calculate GCF of 222,536
2 | 222, 536 |
111, 268 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3317706/2
Therefore the LCM of Fractions 378/222,8777/536 is 1658853
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 222,536 . The biggest common factor number is the GCF number.
So the greatest common factor 222,536 is 2.
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 378/222, 8777/536?
Answer: LCM of Numerators as per given numbers 378/222, 8777/536 is
LCM of Numerators i.e. for 378,8777 is 3317706
GCF of denominators i.e. for 222,536 is 2.
Thus, LCM of Fractions is 1658853.Finally, LCM of Fractions for 378/222, 8777/536 is 1658853.