Given numbers are 422,413,584,567

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

The LCM of 422,413,584,567 is 4122212472.

Find LCM of 422,413,584,567 with Prime Factorization

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

2 x 7 x 211 x 59 x 292 x 81 = 4122212472

Therefore, the lowest common multiple of 422,413,584,567 is 4122212472.

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 413 x 584 x 567 = 57710974608

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

413 : 1, 7, 59, 413

584 : 1, 2, 4, 8, 73, 146, 292, 584

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,413,584,567, is 1.

Now, the common factors can be found like this.

422:2x 211

413:7x 59

584:2x 2x 2x 73

567:3x 3x 3x 3x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 57710974608/(1x14)

LCM = 57710974608/14

LCM = 4122212472

Thus, we can understand that the LCM of 422,413,584,567 is 4122212472.

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

• LCM of 658, 795, 782, 340
• LCM of 426, 889, 375, 141
• LCM of 551, 987, 766, 225
• LCM of 290, 346, 520, 488
• LCM of 771, 750, 835, 761

1. What is the LCM of 422, 413, 584, 567?

Answer: LCM of 422, 413, 584, 567 is 4122212472.

2. How to calculate the LCM of 422, 413, 584, 567?

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, 413, 584, 567.

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}.