LCM of 909, 195, 221, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 195, 221, 540 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 909, 195, 221, 540. So, keep reading to learn more.
Given numbers are 909,195,221,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,195,221,540 is 12053340.
Find LCM of 909,195,221,540 with Prime Factorization
| 3 | 909, 195, 221, 540 |
| 3 | 303, 65, 221, 180 |
| 5 | 101, 65, 221, 60 |
| 13 | 101, 13, 221, 12 |
| 101, 1, 17, 12 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 101 x 1 x 17 x 12 = 12053340
Therefore, the lowest common multiple of 909,195,221,540 is 12053340.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
909 x 195 x 221 x 540 = 21153611700
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
909 : 1, 3, 9, 101, 303, 909
195 : 1, 3, 5, 13, 15, 39, 65, 195
221 : 1, 13, 17, 221
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,195,221,540, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
195:3x 5x 13
221:13x 17
540:2x 2x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 13 = 1755
Therefore, the value for common factors is 1755.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 21153611700/(1x1755)
LCM = 21153611700/1755
LCM = 12053340
Thus, we can understand that the LCM of 909,195,221,540 is 12053340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 909, 195, 221, 540
1. What is the LCM of 909, 195, 221, 540?
Answer: LCM of 909, 195, 221, 540 is 12053340.
2. How to calculate the LCM of 909, 195, 221, 540?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 909, 195, 221, 540.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.