LCM of 384, 459, 407, 418, 212
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 459, 407, 418, 212 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 384, 459, 407, 418, 212. So, keep reading to learn more.
Given numbers are 384,459,407,418,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,459,407,418,212 is 24079448448.
Find LCM of 384,459,407,418,212 with Prime Factorization
| 2 | 384, 459, 407, 418, 212 |
| 2 | 192, 459, 407, 209, 106 |
| 3 | 96, 459, 407, 209, 53 |
| 11 | 32, 153, 407, 209, 53 |
| 32, 153, 37, 19, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 32 x 153 x 37 x 19 x 53 = 24079448448
Therefore, the lowest common multiple of 384,459,407,418,212 is 24079448448.
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.
384 x 459 x 407 x 418 x 212 = 6356974390272
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
459 : 1, 3, 9, 17, 27, 51, 153, 459
407 : 1, 11, 37, 407
418 : 1, 2, 11, 19, 22, 38, 209, 418
212 : 1, 2, 4, 53, 106, 212
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,459,407,418,212, is 1.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
459:3x 3x 3x 17
407:11x 37
418:2x 11x 19
212:2x 2x 53
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 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 6356974390272/(1x264)
LCM = 6356974390272/264
LCM = 24079448448
Thus, we can understand that the LCM of 384,459,407,418,212 is 24079448448.
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FAQs on LCM of 384, 459, 407, 418, 212
1. What is the LCM of 384, 459, 407, 418, 212?
Answer: LCM of 384, 459, 407, 418, 212 is 24079448448.
2. How to calculate the LCM of 384, 459, 407, 418, 212?
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 384, 459, 407, 418, 212.
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}.