Find the LCM of 470, 115, 386, 585, 437 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 470, 115, 386, 585, 437. So, keep reading to learn more.
Given numbers are 470,115,386,585,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,115,386,585,437 is 4637911590.
Find LCM of 470,115,386,585,437 with Prime Factorization
2 | 470, 115, 386, 585, 437 |
5 | 235, 115, 193, 585, 437 |
23 | 47, 23, 193, 117, 437 |
47, 1, 193, 117, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 47 x 1 x 193 x 117 x 19 = 4637911590
Therefore, the lowest common multiple of 470,115,386,585,437 is 4637911590.
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.
470 x 115 x 386 x 585 x 437 = 5333598328500
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
115 : 1, 5, 23, 115
386 : 1, 2, 193, 386
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,115,386,585,437, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
115:5x 23
386:2x 193
585:3x 3x 5x 13
437:19x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 23 = 1150
Therefore, the value for common factors is 1150.
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 = 5333598328500/(1x1150)
LCM = 5333598328500/1150
LCM = 4637911590
Thus, we can understand that the LCM of 470,115,386,585,437 is 4637911590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 470, 115, 386, 585, 437?
Answer: LCM of 470, 115, 386, 585, 437 is 4637911590.
2. How to calculate the LCM of 470, 115, 386, 585, 437?
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 470, 115, 386, 585, 437.
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}.