LCM of 636, 864, 530, 447, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 864, 530, 447, 642 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 636, 864, 530, 447, 642. So, keep reading to learn more.
Given numbers are 636,864,530,447,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,864,530,447,642 is 3650309280.
Find LCM of 636,864,530,447,642 with Prime Factorization
| 2 | 636, 864, 530, 447, 642 |
| 2 | 318, 432, 265, 447, 321 |
| 3 | 159, 216, 265, 447, 321 |
| 53 | 53, 72, 265, 149, 107 |
| 1, 72, 5, 149, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 1 x 72 x 5 x 149 x 107 = 3650309280
Therefore, the lowest common multiple of 636,864,530,447,642 is 3650309280.
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.
636 x 864 x 530 x 447 x 642 = 83577481274880
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
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
530 : 1, 2, 5, 10, 53, 106, 265, 530
447 : 1, 3, 149, 447
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,864,530,447,642, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
864:2x 2x 2x 2x 2x 3x 3x 3
530:2x 5x 53
447:3x 149
642:2x 3x 107
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 2x 3x 3x 3x 53 = 22896
Therefore, the value for common factors is 22896.
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 = 83577481274880/(1x22896)
LCM = 83577481274880/22896
LCM = 3650309280
Thus, we can understand that the LCM of 636,864,530,447,642 is 3650309280.
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FAQs on LCM of 636, 864, 530, 447, 642
1. What is the LCM of 636, 864, 530, 447, 642?
Answer: LCM of 636, 864, 530, 447, 642 is 3650309280.
2. How to calculate the LCM of 636, 864, 530, 447, 642?
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 636, 864, 530, 447, 642.
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}.