Given numbers are 23,23,46,442

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

The LCM of 23,23,46,442 is 10166.

Find LCM of 23,23,46,442 with Prime Factorization

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

2 x 23 x 1 x 1 x 1 x 221 = 10166

Therefore, the lowest common multiple of 23,23,46,442 is 10166.

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.

23 x 23 x 46 x 442 = 10755628

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.

23 : 1, 23

23 : 1, 23

46 : 1, 2, 23, 46

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 23,23,46,442, is 1.

Now, the common factors can be found like this.

23:23

23:23

46:2x 23

442:2x 13x 17

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 10755628/(1x1058)

LCM = 10755628/1058

LCM = 10166

Thus, we can understand that the LCM of 23,23,46,442 is 10166.

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

• LCM of 99, 30, 71, 605
• LCM of 69, 11, 68, 874
• LCM of 95, 65, 54, 738
• LCM of 61, 58, 12, 896
• LCM of 91, 95, 45, 351

1. What is the LCM of 23, 23, 46, 442?

Answer: LCM of 23, 23, 46, 442 is 10166.

2. How to calculate the LCM of 23, 23, 46, 442?

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 23, 23, 46, 442.

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}.