Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 222/786, 9361/122 quickly i.e. 28083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 222/786, 9361/122 is 28083.
LCM(222/786, 9361/122) = 28083
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 222/786,9361/122
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 222,9361
Least Common Multiple of Numerators i.e. LCM of 222,9361 is 56166.
GCF of Denominators means GCF of 786,122 as per the given fractions.
GCF of 786,122 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 222,9361
37 | 222, 9361 |
6, 253 |
∴ So the LCM of the given numbers is 37 x 6 x 253 = 56166
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 222,9361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,9361) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(222,9361) x common factors =37 x 1 = 37
LCM(222,9361) = ( 222 × 9361 ) / 37
LCM(222,9361) = 2078142 / 37
LCM(222,9361) = 56166
Lets's calculate GCF of 786,122
2 | 786, 122 |
393, 61 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56166/2
Therefore the LCM of Fractions 222/786,9361/122 is 28083
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 786,122 . The biggest common factor number is the GCF number.
So the greatest common factor 786,122 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 222/786, 9361/122?
Answer: LCM of Numerators as per given numbers 222/786, 9361/122 is
LCM of Numerators i.e. for 222,9361 is 56166
GCF of denominators i.e. for 786,122 is 2.
Thus, LCM of Fractions is 28083.Finally, LCM of Fractions for 222/786, 9361/122 is 28083.