Given numbers are 422,414,398,111

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

The LCM of 422,414,398,111 is 643187502.

Find LCM of 422,414,398,111 with Prime Factorization

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

2 x 3 x 211 x 69 x 199 x 37 = 643187502

Therefore, the lowest common multiple of 422,414,398,111 is 643187502.

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 414 x 398 x 111 = 7718250024

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

398 : 1, 2, 199, 398

111 : 1, 3, 37, 111

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,414,398,111, is 1.

Now, the common factors can be found like this.

422:2x 211

414:2x 3x 3x 23

398:2x 199

111:3x 37

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 3 = 12

Therefore, the value for common factors is 12.

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 = 7718250024/(1x12)

LCM = 7718250024/12

LCM = 643187502

Thus, we can understand that the LCM of 422,414,398,111 is 643187502.

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

• LCM of 287, 672, 759, 812
• LCM of 116, 782, 109, 113
• LCM of 290, 274, 374, 622
• LCM of 411, 997, 481, 439
• LCM of 565, 981, 377, 820

1. What is the LCM of 422, 414, 398, 111?

Answer: LCM of 422, 414, 398, 111 is 643187502.

2. How to calculate the LCM of 422, 414, 398, 111?

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, 414, 398, 111.

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}.