Find the LCM of 864, 305, 551, 551, 509 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 864, 305, 551, 551, 509. So, keep reading to learn more.
Given numbers are 864,305,551,551,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 864,305,551,551,509 is 73906555680.
Find LCM of 864,305,551,551,509 with Prime Factorization
19 | 864, 305, 551, 551, 509 |
29 | 864, 305, 29, 29, 509 |
864, 305, 1, 1, 509 |
Multiply the prime numbers at the bottom and the left side.
19 x 29 x 864 x 305 x 1 x 1 x 509 = 73906555680
Therefore, the lowest common multiple of 864,305,551,551,509 is 73906555680.
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.
864 x 305 x 551 x 551 x 509 = 40722512179680
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.
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
305 : 1, 5, 61, 305
551 : 1, 19, 29, 551
551 : 1, 19, 29, 551
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,305,551,551,509, is 1.
Now, the common factors can be found like this.
864:2x 2x 2x 2x 2x 3x 3x 3
305:5x 61
551:19x 29
551:19x 29
509:509
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 29 = 551
Therefore, the value for common factors is 551.
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 = 40722512179680/(1x551)
LCM = 40722512179680/551
LCM = 73906555680
Thus, we can understand that the LCM of 864,305,551,551,509 is 73906555680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 864, 305, 551, 551, 509?
Answer: LCM of 864, 305, 551, 551, 509 is 73906555680.
2. How to calculate the LCM of 864, 305, 551, 551, 509?
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 864, 305, 551, 551, 509.
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}.