LCM of 636, 705, 822, 188, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 705, 822, 188, 404 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, 705, 822, 188, 404. So, keep reading to learn more.
Given numbers are 636,705,822,188,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,705,822,188,404 is 2068078020.
Find LCM of 636,705,822,188,404 with Prime Factorization
| 2 | 636, 705, 822, 188, 404 |
| 2 | 318, 705, 411, 94, 202 |
| 3 | 159, 705, 411, 47, 101 |
| 47 | 53, 235, 137, 47, 101 |
| 53, 5, 137, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 53 x 5 x 137 x 1 x 101 = 2068078020
Therefore, the lowest common multiple of 636,705,822,188,404 is 2068078020.
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 705 x 822 x 188 x 404 = 27993504078720
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
705 : 1, 3, 5, 15, 47, 141, 235, 705
822 : 1, 2, 3, 6, 137, 274, 411, 822
188 : 1, 2, 4, 47, 94, 188
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,705,822,188,404, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
705:3x 5x 47
822:2x 3x 137
188:2x 2x 47
404:2x 2x 101
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 2x 3x 3x 47 = 13536
Therefore, the value for common factors is 13536.
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 = 27993504078720/(1x13536)
LCM = 27993504078720/13536
LCM = 2068078020
Thus, we can understand that the LCM of 636,705,822,188,404 is 2068078020.
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FAQs on LCM of 636, 705, 822, 188, 404
1. What is the LCM of 636, 705, 822, 188, 404?
Answer: LCM of 636, 705, 822, 188, 404 is 2068078020.
2. How to calculate the LCM of 636, 705, 822, 188, 404?
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, 705, 822, 188, 404.
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}.