LCM of 438, 303, 810, 684, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 438, 303, 810, 684, 861 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 438, 303, 810, 684, 861. So, keep reading to learn more.
Given numbers are 438,303,810,684,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,303,810,684,861 is 65132049780.
Find LCM of 438,303,810,684,861 with Prime Factorization
| 2 | 438, 303, 810, 684, 861 |
| 3 | 219, 303, 405, 342, 861 |
| 3 | 73, 101, 135, 114, 287 |
| 73, 101, 45, 38, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 73 x 101 x 45 x 38 x 287 = 65132049780
Therefore, the lowest common multiple of 438,303,810,684,861 is 65132049780.
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.
438 x 303 x 810 x 684 x 861 = 63308352386160
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
303 : 1, 3, 101, 303
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
861 : 1, 3, 7, 21, 41, 123, 287, 861
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,303,810,684,861, is 3.
Now, the common factors can be found like this.
438:2x 3x 73
303:3x 101
810:2x 3x 3x 3x 3x 5
684:2x 2x 3x 3x 19
861:3x 7x 41
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 3 = 324
Therefore, the value for common factors is 324.
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 = 63308352386160/(3x324)
LCM = 63308352386160/972
LCM = 65132049780
Thus, we can understand that the LCM of 438,303,810,684,861 is 65132049780.
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FAQs on LCM of 438, 303, 810, 684, 861
1. What is the LCM of 438, 303, 810, 684, 861?
Answer: LCM of 438, 303, 810, 684, 861 is 65132049780.
2. How to calculate the LCM of 438, 303, 810, 684, 861?
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 438, 303, 810, 684, 861.
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}.