Given numbers are 58,24,37,13,814

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 58,24,37,13,814 is 3682536.

Find LCM of 58,24,37,13,814 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 37 x 29 x 12 x 1 x 13 x 11 = 3682536

Therefore, the lowest common multiple of 58,24,37,13,814 is 3682536.

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.

58 x 24 x 37 x 13 x 814 = 545015328

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.

58 : 1, 2, 29, 58

24 : 1, 2, 3, 4, 6, 8, 12, 24

37 : 1, 37

13 : 1, 13

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 58,24,37,13,814, is 1.

Now, the common factors can be found like this.

58:2x 29

24:2x 2x 2x 3

37:37

13:13

814:2x 11x 37

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 37 = 148

Therefore, the value for common factors is 148.

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 = 545015328/(1x148)

LCM = 545015328/148

LCM = 3682536

Thus, we can understand that the LCM of 58,24,37,13,814 is 3682536.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 58, 74, 13, 83, 459
• LCM of 61, 63, 97, 41, 431
• LCM of 76, 38, 21, 65, 177
• LCM of 89, 10, 40, 23, 398
• LCM of 83, 28, 51, 26, 479

1. What is the LCM of 58, 24, 37, 13, 814?

Answer: LCM of 58, 24, 37, 13, 814 is 3682536.

2. How to calculate the LCM of 58, 24, 37, 13, 814?

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 58, 24, 37, 13, 814.

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}.