Find the LCM of 416, 240, 849, 325, 192 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 416, 240, 849, 325, 192. So, keep reading to learn more.
Given numbers are 416,240,849,325,192
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,240,849,325,192 is 17659200.
Find LCM of 416,240,849,325,192 with Prime Factorization
2 | 416, 240, 849, 325, 192 |
2 | 208, 120, 849, 325, 96 |
2 | 104, 60, 849, 325, 48 |
2 | 52, 30, 849, 325, 24 |
2 | 26, 15, 849, 325, 12 |
3 | 13, 15, 849, 325, 6 |
5 | 13, 5, 283, 325, 2 |
13 | 13, 1, 283, 65, 2 |
1, 1, 283, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 1 x 1 x 283 x 5 x 2 = 17659200
Therefore, the lowest common multiple of 416,240,849,325,192 is 17659200.
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.
416 x 240 x 849 x 325 x 192 = 5289283584000
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
849 : 1, 3, 283, 849
325 : 1, 5, 13, 25, 65, 325
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,240,849,325,192, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
240:2x 2x 2x 2x 3x 5
849:3x 283
325:5x 5x 13
192:2x 2x 2x 2x 2x 2x 3
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 3x 3x 5x 13 = 299520
Therefore, the value for common factors is 299520.
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 = 5289283584000/(1x299520)
LCM = 5289283584000/299520
LCM = 17659200
Thus, we can understand that the LCM of 416,240,849,325,192 is 17659200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 240, 849, 325, 192?
Answer: LCM of 416, 240, 849, 325, 192 is 17659200.
2. How to calculate the LCM of 416, 240, 849, 325, 192?
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 416, 240, 849, 325, 192.
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}.