Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 222/46, 2236/989 quickly i.e. 248196/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 222/46, 2236/989 is 248196/23.
LCM(222/46, 2236/989) = 248196/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 222/46,2236/989
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 222,2236
Least Common Multiple of Numerators i.e. LCM of 222,2236 is 248196.
GCF of Denominators means GCF of 46,989 as per the given fractions.
GCF of 46,989 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 222,2236
2 | 222, 2236 |
111, 1118 |
∴ So the LCM of the given numbers is 2 x 111 x 1118 = 248196
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 222,2236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,2236) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(222,2236) x common factors =2 x 1 = 2
LCM(222,2236) = ( 222 × 2236 ) / 2
LCM(222,2236) = 496392 / 2
LCM(222,2236) = 248196
Lets's calculate GCF of 46,989
23 | 46, 989 |
2, 43 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248196/23
Therefore the LCM of Fractions 222/46,2236/989 is 248196/23
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Greatest Common Factor
We found the factors 46,989 . The biggest common factor number is the GCF number.
So the greatest common factor 46,989 is 23.
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 222/46, 2236/989?
Answer: LCM of Numerators as per given numbers 222/46, 2236/989 is
LCM of Numerators i.e. for 222,2236 is 248196
GCF of denominators i.e. for 46,989 is 23.
Thus, LCM of Fractions is 248196/23.Finally, LCM of Fractions for 222/46, 2236/989 is 248196/23.