Given numbers are 214,678,784,364,416

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

The LCM of 214,678,784,364,416 is 739388832.

Find LCM of 214,678,784,364,416 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 13 x 107 x 339 x 7 x 1 x 2 = 739388832

Therefore, the lowest common multiple of 214,678,784,364,416 is 739388832.

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.

214 x 678 x 784 x 364 x 416 = 17224802230272

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.

214 : 1, 2, 107, 214

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,678,784,364,416, is 2.

Now, the common factors can be found like this.

214:2x 107

678:2x 3x 113

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

364:2x 2x 7x 13

416:2x 2x 2x 2x 2x 13

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 2x 7x 13 = 11648

Therefore, the value for common factors is 11648.

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 = 17224802230272/(2x11648)

LCM = 17224802230272/23296

LCM = 739388832

Thus, we can understand that the LCM of 214,678,784,364,416 is 739388832.

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

• LCM of 961, 232, 937, 241, 908
• LCM of 774, 141, 691, 212, 598
• LCM of 658, 226, 693, 606, 100
• LCM of 695, 270, 831, 709, 141
• LCM of 345, 793, 268, 659, 323

1. What is the LCM of 214, 678, 784, 364, 416?

Answer: LCM of 214, 678, 784, 364, 416 is 739388832.

2. How to calculate the LCM of 214, 678, 784, 364, 416?

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 214, 678, 784, 364, 416.

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}.