Given numbers are 417,422,458

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

The LCM of 417,422,458 is 40298046.

Find LCM of 417,422,458 with Prime Factorization

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

2 x 417 x 211 x 229 = 40298046

Therefore, the lowest common multiple of 417,422,458 is 40298046.

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.

417 x 422 x 458 = 80596092

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.

417 : 1, 3, 139, 417

422 : 1, 2, 211, 422

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,422,458, is 1.

Now, the common factors can be found like this.

417:3x 139

422:2x 211

458:2x 229

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 80596092/(1x2)

LCM = 80596092/2

LCM = 40298046

Thus, we can understand that the LCM of 417,422,458 is 40298046.

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

• LCM of 163, 386, 506
• LCM of 470, 506, 635
• LCM of 837, 373, 525
• LCM of 383, 716, 339
• LCM of 311, 997, 820

1. What is the LCM of 417, 422, 458?

Answer: LCM of 417, 422, 458 is 40298046.

2. How to calculate the LCM of 417, 422, 458?

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 417, 422, 458.

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}.