LCM of 481, 270, 864, 666, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 270, 864, 666, 213 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 481, 270, 864, 666, 213. So, keep reading to learn more.
Given numbers are 481,270,864,666,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,270,864,666,213 is 147532320.
Find LCM of 481,270,864,666,213 with Prime Factorization
| 2 | 481, 270, 864, 666, 213 |
| 3 | 481, 135, 432, 333, 213 |
| 3 | 481, 45, 144, 111, 71 |
| 3 | 481, 15, 48, 37, 71 |
| 37 | 481, 5, 16, 37, 71 |
| 13, 5, 16, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 37 x 13 x 5 x 16 x 1 x 71 = 147532320
Therefore, the lowest common multiple of 481,270,864,666,213 is 147532320.
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.
481 x 270 x 864 x 666 x 213 = 15917557069440
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.
481 : 1, 13, 37, 481
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,270,864,666,213, is 1.
Now, the common factors can be found like this.
481:13x 37
270:2x 3x 3x 3x 5
864:2x 2x 2x 2x 2x 3x 3x 3
666:2x 3x 3x 37
213:3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3x 3x 3x 37 = 107892
Therefore, the value for common factors is 107892.
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 = 15917557069440/(1x107892)
LCM = 15917557069440/107892
LCM = 147532320
Thus, we can understand that the LCM of 481,270,864,666,213 is 147532320.
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FAQs on LCM of 481, 270, 864, 666, 213
1. What is the LCM of 481, 270, 864, 666, 213?
Answer: LCM of 481, 270, 864, 666, 213 is 147532320.
2. How to calculate the LCM of 481, 270, 864, 666, 213?
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 481, 270, 864, 666, 213.
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}.