Given numbers are 442,4006,492

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

The LCM of 442,4006,492 is 217790196.

Find LCM of 442,4006,492 with Prime Factorization

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

2 x 221 x 2003 x 246 = 217790196

Therefore, the lowest common multiple of 442,4006,492 is 217790196.

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.

442 x 4006 x 492 = 871160784

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.

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

4006 : 1, 2, 2003, 4006

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,4006,492, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

4006:2x 2003

492:2x 2x 3x 41

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 = 871160784/(2x2)

LCM = 871160784/4

LCM = 217790196

Thus, we can understand that the LCM of 442,4006,492 is 217790196.

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

• LCM of 539, 3697, 500
• LCM of 104, 4257, 616
• LCM of 846, 8636, 840
• LCM of 468, 2452, 355
• LCM of 205, 1177, 748

1. What is the LCM of 442, 4006, 492?

Answer: LCM of 442, 4006, 492 is 217790196.

2. How to calculate the LCM of 442, 4006, 492?

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 442, 4006, 492.

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}.