Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 185/22, 442/2988 quickly i.e. 40885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 185/22, 442/2988 is 40885.
LCM(185/22, 442/2988) = 40885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 185/22,442/2988
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 185,442
Least Common Multiple of Numerators i.e. LCM of 185,442 is 81770.
GCF of Denominators means GCF of 22,2988 as per the given fractions.
GCF of 22,2988 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 185,442
Given numbers has no common factors except 1. So, there LCM is their product i.e 81770
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 185,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,442) x common factors =1 x 1 = 1
LCM(185,442) = ( 185 × 442 ) / 1
LCM(185,442) = 81770 / 1
LCM(185,442) = 81770
Lets's calculate GCF of 22,2988
2 | 22, 2988 |
11, 1494 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81770/2
Therefore the LCM of Fractions 185/22,442/2988 is 40885
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 2988
List of positive integer factors of 2988 that divides 2988 without a remainder.
1,2,3,4,6,9,12,18,36,83,166,249,332,498,747,996,1494,2988
Greatest Common Factor
We found the factors 22,2988 . The biggest common factor number is the GCF number.
So the greatest common factor 22,2988 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 185/22, 442/2988?
Answer: LCM of Numerators as per given numbers 185/22, 442/2988 is
LCM of Numerators i.e. for 185,442 is 81770
GCF of denominators i.e. for 22,2988 is 2.
Thus, LCM of Fractions is 40885.Finally, LCM of Fractions for 185/22, 442/2988 is 40885.