Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 222/80, 105/83, 119/132 quickly i.e. 132090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 222/80, 105/83, 119/132 is 132090.
LCM(222/80, 105/83, 119/132) = 132090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 222/80,105/83,119/132
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 222,105,119
Least Common Multiple of Numerators i.e. LCM of 222,105,119 is 132090.
GCF of Denominators means GCF of 80,83,132 as per the given fractions.
GCF of 80,83,132 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 222,105,119
3 | 222, 105, 119 |
7 | 74, 35, 119 |
74, 5, 17 |
∴ So the LCM of the given numbers is 3 x 7 x 74 x 5 x 17 = 132090
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 222,105,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,105,119) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(222,105,119) x common factors =1 x 21 = 21
LCM(222,105,119) = ( 222 × 105 × 119 ) / 21
LCM(222,105,119) = 2773890 / 21
LCM(222,105,119) = 132090
Lets's calculate GCF of 80,83,132
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132090/1
Therefore the LCM of Fractions 222/80,105/83,119/132 is 132090
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 80,83,132 . The biggest common factor number is the GCF number.
So the greatest common factor 80,83,132 is 1.
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 222/80, 105/83, 119/132?
Answer: LCM of Numerators as per given numbers 222/80, 105/83, 119/132 is
LCM of Numerators i.e. for 222,105,119 is 132090
GCF of denominators i.e. for 80,83,132 is 1.
Thus, LCM of Fractions is 132090.Finally, LCM of Fractions for 222/80, 105/83, 119/132 is 132090.