Find the LCM of 621, 315, 493, 651, 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 621, 315, 493, 651, 585. So, keep reading to learn more.
Given numbers are 621,315,493,651,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,315,493,651,585 is 4318288065.
Find LCM of 621,315,493,651,585 with Prime Factorization
3 | 621, 315, 493, 651, 585 |
3 | 207, 105, 493, 217, 195 |
5 | 69, 35, 493, 217, 65 |
7 | 69, 7, 493, 217, 13 |
69, 1, 493, 31, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 69 x 1 x 493 x 31 x 13 = 4318288065
Therefore, the lowest common multiple of 621,315,493,651,585 is 4318288065.
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.
621 x 315 x 493 x 651 x 585 = 36727039992825
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
493 : 1, 17, 29, 493
651 : 1, 3, 7, 21, 31, 93, 217, 651
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 621,315,493,651,585, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
315:3x 3x 5x 7
493:17x 29
651:3x 7x 31
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.
3x 3x 3x 3x 3x 5x 7 = 8505
Therefore, the value for common factors is 8505.
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 = 36727039992825/(1x8505)
LCM = 36727039992825/8505
LCM = 4318288065
Thus, we can understand that the LCM of 621,315,493,651,585 is 4318288065.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 621, 315, 493, 651, 585?
Answer: LCM of 621, 315, 493, 651, 585 is 4318288065.
2. How to calculate the LCM of 621, 315, 493, 651, 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 621, 315, 493, 651, 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}.