Given numbers are 414,287,381,526

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

The LCM of 414,287,381,526 is 3968640018.

Find LCM of 414,287,381,526 with Prime Factorization

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

2 x 3 x 69 x 287 x 127 x 263 = 3968640018

Therefore, the lowest common multiple of 414,287,381,526 is 3968640018.

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.

414 x 287 x 381 x 526 = 23811840108

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.

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

287 : 1, 7, 41, 287

381 : 1, 3, 127, 381

526 : 1, 2, 263, 526

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,287,381,526, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

287:7x 41

381:3x 127

526:2x 263

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 23811840108/(1x6)

LCM = 23811840108/6

LCM = 3968640018

Thus, we can understand that the LCM of 414,287,381,526 is 3968640018.

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

• LCM of 576, 959, 954, 692
• LCM of 846, 421, 165, 540
• LCM of 458, 224, 550, 294
• LCM of 311, 961, 843, 436
• LCM of 825, 723, 927, 916

1. What is the LCM of 414, 287, 381, 526?

Answer: LCM of 414, 287, 381, 526 is 3968640018.

2. How to calculate the LCM of 414, 287, 381, 526?

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 414, 287, 381, 526.

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}.