Find the LCM of 609, 145, 321, 395, 960 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 609, 145, 321, 395, 960. So, keep reading to learn more.
Given numbers are 609,145,321,395,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,145,321,395,960 is 1647320640.
Find LCM of 609,145,321,395,960 with Prime Factorization
3 | 609, 145, 321, 395, 960 |
5 | 203, 145, 107, 395, 320 |
29 | 203, 29, 107, 79, 64 |
7, 1, 107, 79, 64 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 29 x 7 x 1 x 107 x 79 x 64 = 1647320640
Therefore, the lowest common multiple of 609,145,321,395,960 is 1647320640.
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.
609 x 145 x 321 x 395 x 960 = 10748767176000
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
145 : 1, 5, 29, 145
321 : 1, 3, 107, 321
395 : 1, 5, 79, 395
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,145,321,395,960, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
145:5x 29
321:3x 107
395:5x 79
960:2x 2x 2x 2x 2x 2x 3x 5
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 5x 5x 29 = 6525
Therefore, the value for common factors is 6525.
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 = 10748767176000/(1x6525)
LCM = 10748767176000/6525
LCM = 1647320640
Thus, we can understand that the LCM of 609,145,321,395,960 is 1647320640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 609, 145, 321, 395, 960?
Answer: LCM of 609, 145, 321, 395, 960 is 1647320640.
2. How to calculate the LCM of 609, 145, 321, 395, 960?
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 609, 145, 321, 395, 960.
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}.