Given numbers are 58,35,56,493

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

The LCM of 58,35,56,493 is 138040.

Find LCM of 58,35,56,493 with Prime Factorization

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

2 x 7 x 29 x 1 x 5 x 4 x 17 = 138040

Therefore, the lowest common multiple of 58,35,56,493 is 138040.

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 35 x 56 x 493 = 56044240

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

35 : 1, 5, 7, 35

56 : 1, 2, 4, 7, 8, 14, 28, 56

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 58,35,56,493, is 1.

Now, the common factors can be found like this.

58:2x 29

35:5x 7

56:2x 2x 2x 7

493:17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 29 = 406

Therefore, the value for common factors is 406.

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 = 56044240/(1x406)

LCM = 56044240/406

LCM = 138040

Thus, we can understand that the LCM of 58,35,56,493 is 138040.

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

• LCM of 38, 68, 71, 511
• LCM of 64, 21, 12, 497
• LCM of 77, 56, 11, 293
• LCM of 89, 20, 45, 230
• LCM of 72, 62, 33, 227

1. What is the LCM of 58, 35, 56, 493?

Answer: LCM of 58, 35, 56, 493 is 138040.

2. How to calculate the LCM of 58, 35, 56, 493?

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, 35, 56, 493.

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}.