Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/84, 73/42, 81/990 quickly i.e. 218781/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/84, 73/42, 81/990 is 218781/6.
LCM(37/84, 73/42, 81/990) = 218781/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/84,73/42,81/990
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 37,73,81
Least Common Multiple of Numerators i.e. LCM of 37,73,81 is 218781.
GCF of Denominators means GCF of 84,42,990 as per the given fractions.
GCF of 84,42,990 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,73,81
Given numbers has no common factors except 1. So, there LCM is their product i.e 218781
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 37,73,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,73,81) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,73,81) x common factors =1 x 1 = 1
LCM(37,73,81) = ( 37 × 73 × 81 ) / 1
LCM(37,73,81) = 218781 / 1
LCM(37,73,81) = 218781
Lets's calculate GCF of 84,42,990
2 | 84, 42, 990 |
3 | 42, 21, 495 |
14, 7, 165 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218781/6
Therefore the LCM of Fractions 37/84,73/42,81/990 is 218781/6
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 84,42,990 . The biggest common factor number is the GCF number.
So the greatest common factor 84,42,990 is 6.
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 37/84, 73/42, 81/990?
Answer: LCM of Numerators as per given numbers 37/84, 73/42, 81/990 is
LCM of Numerators i.e. for 37,73,81 is 218781
GCF of denominators i.e. for 84,42,990 is 6.
Thus, LCM of Fractions is 218781/6.Finally, LCM of Fractions for 37/84, 73/42, 81/990 is 218781/6.