Given numbers are 493,658,486

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

The LCM of 493,658,486 is 78827742.

Find LCM of 493,658,486 with Prime Factorization

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

2 x 493 x 329 x 243 = 78827742

Therefore, the lowest common multiple of 493,658,486 is 78827742.

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.

493 x 658 x 486 = 157655484

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.

493 : 1, 17, 29, 493

658 : 1, 2, 7, 14, 47, 94, 329, 658

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,658,486, is 1.

Now, the common factors can be found like this.

493:17x 29

658:2x 7x 47

486:2x 3x 3x 3x 3x 3

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

2 = 2

Therefore, the value for common factors is 2.

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 = 157655484/(1x2)

LCM = 157655484/2

LCM = 78827742

Thus, we can understand that the LCM of 493,658,486 is 78827742.

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

• LCM of 189, 768, 869
• LCM of 609, 459, 906
• LCM of 583, 616, 847
• LCM of 556, 948, 322
• LCM of 492, 786, 928

1. What is the LCM of 493, 658, 486?

Answer: LCM of 493, 658, 486 is 78827742.

2. How to calculate the LCM of 493, 658, 486?

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 493, 658, 486.

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}.