Given numbers are 392,414,784,652,217

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

The LCM of 392,414,784,652,217 is 820041264.

Find LCM of 392,414,784,652,217 with Prime Factorization

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

2 x 2 x 2 x 7 x 7 x 1 x 207 x 2 x 163 x 31 = 820041264

Therefore, the lowest common multiple of 392,414,784,652,217 is 820041264.

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.

392 x 414 x 784 x 652 x 217 = 18001545827328

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.

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

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

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

652 : 1, 2, 4, 163, 326, 652

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,414,784,652,217, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

414:2x 3x 3x 23

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

652:2x 2x 163

217:7x 31

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 7x 7x 7 = 21952

Therefore, the value for common factors is 21952.

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 = 18001545827328/(1x21952)

LCM = 18001545827328/21952

LCM = 820041264

Thus, we can understand that the LCM of 392,414,784,652,217 is 820041264.

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

• LCM of 550, 676, 824, 547, 220
• LCM of 896, 899, 940, 490, 467
• LCM of 302, 373, 709, 807, 432
• LCM of 395, 298, 426, 278, 884
• LCM of 848, 569, 237, 275, 162

1. What is the LCM of 392, 414, 784, 652, 217?

Answer: LCM of 392, 414, 784, 652, 217 is 820041264.

2. How to calculate the LCM of 392, 414, 784, 652, 217?

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 392, 414, 784, 652, 217.

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}.