Given numbers are 180,390,426,485,422

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

The LCM of 180,390,426,485,422 is 3400387380.

Find LCM of 180,390,426,485,422 with Prime Factorization

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

2 x 3 x 5 x 6 x 13 x 71 x 97 x 211 = 3400387380

Therefore, the lowest common multiple of 180,390,426,485,422 is 3400387380.

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 390 x 426 x 485 x 422 = 6120697284000

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

426 : 1, 2, 3, 6, 71, 142, 213, 426

485 : 1, 5, 97, 485

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,390,426,485,422, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

390:2x 3x 5x 13

426:2x 3x 71

485:5x 97

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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 6120697284000/(1x1800)

LCM = 6120697284000/1800

LCM = 3400387380

Thus, we can understand that the LCM of 180,390,426,485,422 is 3400387380.

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

• LCM of 254, 147, 325, 853, 887
• LCM of 985, 513, 939, 218, 922
• LCM of 828, 306, 659, 878, 824
• LCM of 665, 301, 829, 514, 354
• LCM of 286, 565, 442, 169, 291

1. What is the LCM of 180, 390, 426, 485, 422?

Answer: LCM of 180, 390, 426, 485, 422 is 3400387380.

2. How to calculate the LCM of 180, 390, 426, 485, 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, 390, 426, 485, 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}.