LCM of 642, 432, 557, 442, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 432, 557, 442, 459 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 642, 432, 557, 442, 459. So, keep reading to learn more.
Given numbers are 642,432,557,442,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,432,557,442,459 is 5690035728.
Find LCM of 642,432,557,442,459 with Prime Factorization
| 2 | 642, 432, 557, 442, 459 |
| 3 | 321, 216, 557, 221, 459 |
| 3 | 107, 72, 557, 221, 153 |
| 3 | 107, 24, 557, 221, 51 |
| 17 | 107, 8, 557, 221, 17 |
| 107, 8, 557, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 107 x 8 x 557 x 13 x 1 = 5690035728
Therefore, the lowest common multiple of 642,432,557,442,459 is 5690035728.
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.
642 x 432 x 557 x 442 x 459 = 31340716789824
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
557 : 1, 557
442 : 1, 2, 13, 17, 26, 34, 221, 442
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,432,557,442,459, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
432:2x 2x 2x 2x 3x 3x 3
557:557
442:2x 13x 17
459:3x 3x 3x 17
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 17 = 5508
Therefore, the value for common factors is 5508.
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 = 31340716789824/(1x5508)
LCM = 31340716789824/5508
LCM = 5690035728
Thus, we can understand that the LCM of 642,432,557,442,459 is 5690035728.
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FAQs on LCM of 642, 432, 557, 442, 459
1. What is the LCM of 642, 432, 557, 442, 459?
Answer: LCM of 642, 432, 557, 442, 459 is 5690035728.
2. How to calculate the LCM of 642, 432, 557, 442, 459?
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 642, 432, 557, 442, 459.
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}.