Given numbers are 413,381,171,283,431

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

The LCM of 413,381,171,283,431 is 1093990595733.

Find LCM of 413,381,171,283,431 with Prime Factorization

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

3 x 413 x 127 x 57 x 283 x 431 = 1093990595733

Therefore, the lowest common multiple of 413,381,171,283,431 is 1093990595733.

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.

413 x 381 x 171 x 283 x 431 = 3281971787199

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.

413 : 1, 7, 59, 413

381 : 1, 3, 127, 381

171 : 1, 3, 9, 19, 57, 171

283 : 1, 283

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,381,171,283,431, is 1.

Now, the common factors can be found like this.

413:7x 59

381:3x 127

171:3x 3x 19

283:283

431:431

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

3 = 3

Therefore, the value for common factors is 3.

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 = 3281971787199/(1x3)

LCM = 3281971787199/3

LCM = 1093990595733

Thus, we can understand that the LCM of 413,381,171,283,431 is 1093990595733.

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

• LCM of 862, 648, 933, 683, 557
• LCM of 576, 448, 781, 606, 473
• LCM of 666, 385, 161, 890, 397
• LCM of 913, 566, 825, 388, 384
• LCM of 989, 125, 130, 223, 522

1. What is the LCM of 413, 381, 171, 283, 431?

Answer: LCM of 413, 381, 171, 283, 431 is 1093990595733.

2. How to calculate the LCM of 413, 381, 171, 283, 431?

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 413, 381, 171, 283, 431.

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}.