LCM of 636, 891, 493, 720, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 891, 493, 720, 706 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, 891, 493, 720, 706. So, keep reading to learn more.
Given numbers are 636,891,493,720,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,891,493,720,706 is 657453717360.
Find LCM of 636,891,493,720,706 with Prime Factorization
| 2 | 636, 891, 493, 720, 706 |
| 2 | 318, 891, 493, 360, 353 |
| 3 | 159, 891, 493, 180, 353 |
| 3 | 53, 297, 493, 60, 353 |
| 53, 99, 493, 20, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 53 x 99 x 493 x 20 x 353 = 657453717360
Therefore, the lowest common multiple of 636,891,493,720,706 is 657453717360.
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 891 x 493 x 720 x 706 = 142010002949760
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
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
493 : 1, 17, 29, 493
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,891,493,720,706, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
891:3x 3x 3x 3x 11
493:17x 29
720:2x 2x 2x 2x 3x 3x 5
706:2x 353
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 142010002949760/(1x216)
LCM = 142010002949760/216
LCM = 657453717360
Thus, we can understand that the LCM of 636,891,493,720,706 is 657453717360.
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FAQs on LCM of 636, 891, 493, 720, 706
1. What is the LCM of 636, 891, 493, 720, 706?
Answer: LCM of 636, 891, 493, 720, 706 is 657453717360.
2. How to calculate the LCM of 636, 891, 493, 720, 706?
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, 891, 493, 720, 706.
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}.