Given numbers are 422,290,392,820,406

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

The LCM of 422,290,392,820,406 is 491722840.

Find LCM of 422,290,392,820,406 with Prime Factorization

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

2 x 2 x 5 x 7 x 29 x 211 x 1 x 14 x 41 x 1 = 491722840

Therefore, the lowest common multiple of 422,290,392,820,406 is 491722840.

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.

422 x 290 x 392 x 820 x 406 = 15971157843200

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.

422 : 1, 2, 211, 422

290 : 1, 2, 5, 10, 29, 58, 145, 290

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,290,392,820,406, is 2.

Now, the common factors can be found like this.

422:2x 211

290:2x 5x 29

392:2x 2x 2x 7x 7

820:2x 2x 5x 41

406:2x 7x 29

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 5x 7x 29 = 16240

Therefore, the value for common factors is 16240.

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 = 15971157843200/(2x16240)

LCM = 15971157843200/32480

LCM = 491722840

Thus, we can understand that the LCM of 422,290,392,820,406 is 491722840.

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

• LCM of 798, 118, 557, 813, 298
• LCM of 739, 469, 495, 893, 511
• LCM of 798, 637, 479, 867, 790
• LCM of 799, 931, 443, 170, 703
• LCM of 933, 895, 650, 454, 517

1. What is the LCM of 422, 290, 392, 820, 406?

Answer: LCM of 422, 290, 392, 820, 406 is 491722840.

2. How to calculate the LCM of 422, 290, 392, 820, 406?

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 422, 290, 392, 820, 406.

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}.