Given numbers are 398,267,728,406,422

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

The LCM of 398,267,728,406,422 is 236687962056.

Find LCM of 398,267,728,406,422 with Prime Factorization

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

2 x 7 x 199 x 267 x 52 x 29 x 211 = 236687962056

Therefore, the lowest common multiple of 398,267,728,406,422 is 236687962056.

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.

398 x 267 x 728 x 406 x 422 = 13254525875136

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.

398 : 1, 2, 199, 398

267 : 1, 3, 89, 267

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,267,728,406,422, is 1.

Now, the common factors can be found like this.

398:2x 199

267:3x 89

728:2x 2x 2x 7x 13

406:2x 7x 29

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 7 = 56

Therefore, the value for common factors is 56.

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 = 13254525875136/(1x56)

LCM = 13254525875136/56

LCM = 236687962056

Thus, we can understand that the LCM of 398,267,728,406,422 is 236687962056.

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

• LCM of 235, 253, 670, 636, 141
• LCM of 928, 614, 704, 360, 221
• LCM of 931, 916, 333, 191, 149
• LCM of 873, 541, 817, 366, 770
• LCM of 591, 269, 253, 432, 890

1. What is the LCM of 398, 267, 728, 406, 422?

Answer: LCM of 398, 267, 728, 406, 422 is 236687962056.

2. How to calculate the LCM of 398, 267, 728, 406, 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 398, 267, 728, 406, 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}.