Given numbers are 414,364,397,696,784

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

The LCM of 414,364,397,696,784 is 24289482672.

Find LCM of 414,364,397,696,784 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 69 x 13 x 397 x 29 x 14 = 24289482672

Therefore, the lowest common multiple of 414,364,397,696,784 is 24289482672.

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 364 x 397 x 696 x 784 = 32645064711168

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

397 : 1, 397

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,364,397,696,784, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

364:2x 2x 7x 13

397:397

696:2x 2x 2x 3x 29

784:2x 2x 2x 2x 7x 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 2x 2x 2x 2x 2x 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 32645064711168/(1x1344)

LCM = 32645064711168/1344

LCM = 24289482672

Thus, we can understand that the LCM of 414,364,397,696,784 is 24289482672.

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

• LCM of 583, 477, 237, 367, 543
• LCM of 636, 107, 389, 128, 136
• LCM of 380, 528, 776, 705, 841
• LCM of 188, 333, 550, 668, 607
• LCM of 879, 356, 684, 590, 768

1. What is the LCM of 414, 364, 397, 696, 784?

Answer: LCM of 414, 364, 397, 696, 784 is 24289482672.

2. How to calculate the LCM of 414, 364, 397, 696, 784?

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, 364, 397, 696, 784.

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}.