Find the LCM of 818, 409, 822, 399, 585 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 818, 409, 822, 399, 585. So, keep reading to learn more.
Given numbers are 818,409,822,399,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,409,822,399,585 is 8719295130.
Find LCM of 818,409,822,399,585 with Prime Factorization
2 | 818, 409, 822, 399, 585 |
3 | 409, 409, 411, 399, 585 |
409 | 409, 409, 137, 133, 195 |
1, 1, 137, 133, 195 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 409 x 1 x 1 x 137 x 133 x 195 = 8719295130
Therefore, the lowest common multiple of 818,409,822,399,585 is 8719295130.
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.
818 x 409 x 822 x 399 x 585 = 64191450747060
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.
818 : 1, 2, 409, 818
409 : 1, 409
822 : 1, 2, 3, 6, 137, 274, 411, 822
399 : 1, 3, 7, 19, 21, 57, 133, 399
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,409,822,399,585, is 1.
Now, the common factors can be found like this.
818:2x 409
409:409
822:2x 3x 137
399:3x 7x 19
585:3x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 409 = 7362
Therefore, the value for common factors is 7362.
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 = 64191450747060/(1x7362)
LCM = 64191450747060/7362
LCM = 8719295130
Thus, we can understand that the LCM of 818,409,822,399,585 is 8719295130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 818, 409, 822, 399, 585?
Answer: LCM of 818, 409, 822, 399, 585 is 8719295130.
2. How to calculate the LCM of 818, 409, 822, 399, 585?
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 818, 409, 822, 399, 585.
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}.