Given numbers are 617,354,784,214,414

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

The LCM of 617,354,784,214,414 is 632131396848.

Find LCM of 617,354,784,214,414 with Prime Factorization

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

2 x 3 x 617 x 59 x 392 x 107 x 69 = 632131396848

Therefore, the lowest common multiple of 617,354,784,214,414 is 632131396848.

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.

617 x 354 x 784 x 214 x 414 = 15171153524352

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.

617 : 1, 617

354 : 1, 2, 3, 6, 59, 118, 177, 354

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

214 : 1, 2, 107, 214

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 617,354,784,214,414, is 1.

Now, the common factors can be found like this.

617:617

354:2x 3x 59

784:2x 2x 2x 2x 7x 7

214:2x 107

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 15171153524352/(1x24)

LCM = 15171153524352/24

LCM = 632131396848

Thus, we can understand that the LCM of 617,354,784,214,414 is 632131396848.

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

• LCM of 788, 911, 480, 963, 302
• LCM of 105, 818, 974, 335, 781
• LCM of 607, 200, 320, 225, 921
• LCM of 493, 166, 404, 533, 490
• LCM of 545, 284, 676, 284, 138

1. What is the LCM of 617, 354, 784, 214, 414?

Answer: LCM of 617, 354, 784, 214, 414 is 632131396848.

2. How to calculate the LCM of 617, 354, 784, 214, 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 617, 354, 784, 214, 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}.