Given numbers are 381,922,204,537,414

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

The LCM of 381,922,204,537,414 is 147515255388.

Find LCM of 381,922,204,537,414 with Prime Factorization

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

2 x 3 x 127 x 461 x 34 x 179 x 69 = 147515255388

Therefore, the lowest common multiple of 381,922,204,537,414 is 147515255388.

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.

381 x 922 x 204 x 537 x 414 = 15931647581904

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.

381 : 1, 3, 127, 381

922 : 1, 2, 461, 922

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

537 : 1, 3, 179, 537

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,922,204,537,414, is 1.

Now, the common factors can be found like this.

381:3x 127

922:2x 461

204:2x 2x 3x 17

537:3x 179

414:2x 3x 3x 23

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

2x 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 15931647581904/(1x108)

LCM = 15931647581904/108

LCM = 147515255388

Thus, we can understand that the LCM of 381,922,204,537,414 is 147515255388.

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

• LCM of 742, 404, 178, 765, 553
• LCM of 728, 359, 542, 667, 546
• LCM of 420, 394, 329, 438, 944
• LCM of 390, 825, 505, 918, 259
• LCM of 749, 307, 133, 742, 139

1. What is the LCM of 381, 922, 204, 537, 414?

Answer: LCM of 381, 922, 204, 537, 414 is 147515255388.

2. How to calculate the LCM of 381, 922, 204, 537, 414?

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 381, 922, 204, 537, 414.

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}.