Given numbers are 493,114,106

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

The LCM of 493,114,106 is 2978706.

Find LCM of 493,114,106 with Prime Factorization

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

2 x 493 x 57 x 53 = 2978706

Therefore, the lowest common multiple of 493,114,106 is 2978706.

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 114 x 106 = 5957412

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

114 : 1, 2, 3, 6, 19, 38, 57, 114

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,114,106, is 1.

Now, the common factors can be found like this.

493:17x 29

114:2x 3x 19

106:2x 53

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 = 5957412/(1x2)

LCM = 5957412/2

LCM = 2978706

Thus, we can understand that the LCM of 493,114,106 is 2978706.

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

• LCM of 749, 151, 704
• LCM of 875, 395, 384
• LCM of 504, 183, 891
• LCM of 474, 908, 829
• LCM of 374, 522, 725

1. What is the LCM of 493, 114, 106?

Answer: LCM of 493, 114, 106 is 2978706.

2. How to calculate the LCM of 493, 114, 106?

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, 114, 106.

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}.