Given numbers are 407,407,310,537,569

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

The LCM of 407,407,310,537,569 is 38551622010.

Find LCM of 407,407,310,537,569 with Prime Factorization

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

11 x 37 x 1 x 1 x 310 x 537 x 569 = 38551622010

Therefore, the lowest common multiple of 407,407,310,537,569 is 38551622010.

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.

407 x 407 x 310 x 537 x 569 = 15690510158070

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.

407 : 1, 11, 37, 407

407 : 1, 11, 37, 407

310 : 1, 2, 5, 10, 31, 62, 155, 310

537 : 1, 3, 179, 537

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,407,310,537,569, is 1.

Now, the common factors can be found like this.

407:11x 37

407:11x 37

310:2x 5x 31

537:3x 179

569:569

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

11x 37 = 407

Therefore, the value for common factors is 407.

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 = 15690510158070/(1x407)

LCM = 15690510158070/407

LCM = 38551622010

Thus, we can understand that the LCM of 407,407,310,537,569 is 38551622010.

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

• LCM of 131, 439, 353, 912, 197
• LCM of 991, 113, 864, 950, 146
• LCM of 507, 544, 881, 134, 707
• LCM of 843, 322, 441, 385, 706
• LCM of 159, 563, 346, 379, 661

1. What is the LCM of 407, 407, 310, 537, 569?

Answer: LCM of 407, 407, 310, 537, 569 is 38551622010.

2. How to calculate the LCM of 407, 407, 310, 537, 569?

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 407, 407, 310, 537, 569.

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}.