Find the LCM of 416, 614, 462, 715, 620 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, 614, 462, 715, 620. So, keep reading to learn more.
Given numbers are 416,614,462,715,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,614,462,715,620 is 4572728160.
Find LCM of 416,614,462,715,620 with Prime Factorization
2 | 416, 614, 462, 715, 620 |
2 | 208, 307, 231, 715, 310 |
5 | 104, 307, 231, 715, 155 |
11 | 104, 307, 231, 143, 31 |
13 | 104, 307, 21, 13, 31 |
8, 307, 21, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 8 x 307 x 21 x 1 x 31 = 4572728160
Therefore, the lowest common multiple of 416,614,462,715,620 is 4572728160.
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 614 x 462 x 715 x 620 = 52312010150400
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
614 : 1, 2, 307, 614
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
715 : 1, 5, 11, 13, 55, 65, 143, 715
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,614,462,715,620, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
614:2x 307
462:2x 3x 7x 11
715:5x 11x 13
620:2x 2x 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 5x 11x 13 = 11440
Therefore, the value for common factors is 11440.
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 = 52312010150400/(1x11440)
LCM = 52312010150400/11440
LCM = 4572728160
Thus, we can understand that the LCM of 416,614,462,715,620 is 4572728160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 614, 462, 715, 620?
Answer: LCM of 416, 614, 462, 715, 620 is 4572728160.
2. How to calculate the LCM of 416, 614, 462, 715, 620?
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, 614, 462, 715, 620.
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}.