Given numbers are 380,864,784,214

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

The LCM of 380,864,784,214 is 430345440.

Find LCM of 380,864,784,214 with Prime Factorization

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

2 x 2 x 2 x 2 x 95 x 54 x 49 x 107 = 430345440

Therefore, the lowest common multiple of 380,864,784,214 is 430345440.

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.

380 x 864 x 784 x 214 = 55084216320

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

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

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,864,784,214, is 2.

Now, the common factors can be found like this.

380:2x 2x 5x 19

864:2x 2x 2x 2x 2x 3x 3x 3

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

214:2x 107

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 2 = 64

Therefore, the value for common factors is 64.

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 = 55084216320/(2x64)

LCM = 55084216320/128

LCM = 430345440

Thus, we can understand that the LCM of 380,864,784,214 is 430345440.

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

• LCM of 994, 206, 242, 863
• LCM of 189, 797, 579, 983
• LCM of 953, 331, 899, 109
• LCM of 646, 123, 896, 674
• LCM of 415, 498, 960, 757

1. What is the LCM of 380, 864, 784, 214?

Answer: LCM of 380, 864, 784, 214 is 430345440.

2. How to calculate the LCM of 380, 864, 784, 214?

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 380, 864, 784, 214.

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}.