Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 209/18, 149/22, 418/642 quickly i.e. 31141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 209/18, 149/22, 418/642 is 31141.
LCM(209/18, 149/22, 418/642) = 31141
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 209/18,149/22,418/642
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 209,149,418
Least Common Multiple of Numerators i.e. LCM of 209,149,418 is 62282.
GCF of Denominators means GCF of 18,22,642 as per the given fractions.
GCF of 18,22,642 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 209,149,418
11 | 209, 149, 418 |
19 | 19, 149, 38 |
1, 149, 2 |
∴ So the LCM of the given numbers is 11 x 19 x 1 x 149 x 2 = 62282
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 209,149,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,149,418) = 1
common factors(in case of two or more numbers have common factors) = 209
GCF(209,149,418) x common factors =1 x 209 = 209
LCM(209,149,418) = ( 209 × 149 × 418 ) / 209
LCM(209,149,418) = 13016938 / 209
LCM(209,149,418) = 62282
Lets's calculate GCF of 18,22,642
2 | 18, 22, 642 |
9, 11, 321 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62282/2
Therefore the LCM of Fractions 209/18,149/22,418/642 is 31141
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 18,22,642 . The biggest common factor number is the GCF number.
So the greatest common factor 18,22,642 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 209/18, 149/22, 418/642?
Answer: LCM of Numerators as per given numbers 209/18, 149/22, 418/642 is
LCM of Numerators i.e. for 209,149,418 is 62282
GCF of denominators i.e. for 18,22,642 is 2.
Thus, LCM of Fractions is 31141.Finally, LCM of Fractions for 209/18, 149/22, 418/642 is 31141.