Find the LCM of 642, 320, 408, 403, 155 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 642, 320, 408, 403, 155. So, keep reading to learn more.
Given numbers are 642,320,408,403,155
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,320,408,403,155 is 703734720.
Find LCM of 642,320,408,403,155 with Prime Factorization
2 | 642, 320, 408, 403, 155 |
2 | 321, 160, 204, 403, 155 |
2 | 321, 80, 102, 403, 155 |
3 | 321, 40, 51, 403, 155 |
5 | 107, 40, 17, 403, 155 |
31 | 107, 8, 17, 403, 31 |
107, 8, 17, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 31 x 107 x 8 x 17 x 13 x 1 = 703734720
Therefore, the lowest common multiple of 642,320,408,403,155 is 703734720.
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.
642 x 320 x 408 x 403 x 155 = 5235786316800
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
403 : 1, 13, 31, 403
155 : 1, 5, 31, 155
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,320,408,403,155, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
320:2x 2x 2x 2x 2x 2x 5
408:2x 2x 2x 3x 17
403:13x 31
155:5x 31
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 3x 5x 31 = 7440
Therefore, the value for common factors is 7440.
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 = 5235786316800/(1x7440)
LCM = 5235786316800/7440
LCM = 703734720
Thus, we can understand that the LCM of 642,320,408,403,155 is 703734720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 320, 408, 403, 155?
Answer: LCM of 642, 320, 408, 403, 155 is 703734720.
2. How to calculate the LCM of 642, 320, 408, 403, 155?
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 642, 320, 408, 403, 155.
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}.