Given numbers are 180,440,506,489,422

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

The LCM of 180,440,506,489,422 is 3132514440.

Find LCM of 180,440,506,489,422 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 3 x 2 x 23 x 163 x 211 = 3132514440

Therefore, the lowest common multiple of 180,440,506,489,422 is 3132514440.

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.

180 x 440 x 506 x 489 x 422 = 8269838121600

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

506 : 1, 2, 11, 22, 23, 46, 253, 506

489 : 1, 3, 163, 489

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,440,506,489,422, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

440:2x 2x 2x 5x 11

506:2x 11x 23

489:3x 163

422:2x 211

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

2x 2x 2x 2x 3x 5x 11 = 2640

Therefore, the value for common factors is 2640.

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 = 8269838121600/(1x2640)

LCM = 8269838121600/2640

LCM = 3132514440

Thus, we can understand that the LCM of 180,440,506,489,422 is 3132514440.

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

• LCM of 522, 689, 482, 857, 937
• LCM of 792, 585, 411, 411, 227
• LCM of 900, 923, 669, 237, 662
• LCM of 232, 656, 980, 356, 216
• LCM of 631, 545, 991, 890, 188

1. What is the LCM of 180, 440, 506, 489, 422?

Answer: LCM of 180, 440, 506, 489, 422 is 3132514440.

2. How to calculate the LCM of 180, 440, 506, 489, 422?

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 180, 440, 506, 489, 422.

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}.