Find the LCM of 818, 436, 368, 480, 560 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, 436, 368, 480, 560. So, keep reading to learn more.
Given numbers are 818,436,368,480,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,436,368,480,560 is 3445219680.
Find LCM of 818,436,368,480,560 with Prime Factorization
2 | 818, 436, 368, 480, 560 |
2 | 409, 218, 184, 240, 280 |
2 | 409, 109, 92, 120, 140 |
2 | 409, 109, 46, 60, 70 |
5 | 409, 109, 23, 30, 35 |
409, 109, 23, 6, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 409 x 109 x 23 x 6 x 7 = 3445219680
Therefore, the lowest common multiple of 818,436,368,480,560 is 3445219680.
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 436 x 368 x 480 x 560 = 35279049523200
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
436 : 1, 2, 4, 109, 218, 436
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,436,368,480,560, is 2.
Now, the common factors can be found like this.
818:2x 409
436:2x 2x 109
368:2x 2x 2x 2x 23
480:2x 2x 2x 2x 2x 3x 5
560:2x 2x 2x 2x 5x 7
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 2x 2x 2x 2x 2x 5 = 5120
Therefore, the value for common factors is 5120.
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 = 35279049523200/(2x5120)
LCM = 35279049523200/10240
LCM = 3445219680
Thus, we can understand that the LCM of 818,436,368,480,560 is 3445219680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 818, 436, 368, 480, 560?
Answer: LCM of 818, 436, 368, 480, 560 is 3445219680.
2. How to calculate the LCM of 818, 436, 368, 480, 560?
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, 436, 368, 480, 560.
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}.