Given numbers are 422,409,214,398,633

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

The LCM of 422,409,214,398,633 is 11025387642.

Find LCM of 422,409,214,398,633 with Prime Factorization

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

2 x 211 x 1 x 409 x 107 x 199 x 3 = 11025387642

Therefore, the lowest common multiple of 422,409,214,398,633 is 11025387642.

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 409 x 214 x 398 x 633 = 9305427169848

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

409 : 1, 409

214 : 1, 2, 107, 214

398 : 1, 2, 199, 398

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,409,214,398,633, is 1.

Now, the common factors can be found like this.

422:2x 211

409:409

214:2x 107

398:2x 199

633:3x 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 211 = 844

Therefore, the value for common factors is 844.

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 = 9305427169848/(1x844)

LCM = 9305427169848/844

LCM = 11025387642

Thus, we can understand that the LCM of 422,409,214,398,633 is 11025387642.

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

• LCM of 829, 346, 363, 703, 575
• LCM of 537, 845, 843, 541, 593
• LCM of 850, 892, 808, 165, 753
• LCM of 402, 362, 954, 755, 123
• LCM of 870, 291, 301, 117, 385

1. What is the LCM of 422, 409, 214, 398, 633?

Answer: LCM of 422, 409, 214, 398, 633 is 11025387642.

2. How to calculate the LCM of 422, 409, 214, 398, 633?

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, 409, 214, 398, 633.

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}.