Given numbers are 116,129,397,642,816

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

The LCM of 116,129,397,642,816 is 43224591408.

Find LCM of 116,129,397,642,816 with Prime Factorization

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

2 x 2 x 3 x 29 x 43 x 397 x 107 x 68 = 43224591408

Therefore, the lowest common multiple of 116,129,397,642,816 is 43224591408.

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.

116 x 129 x 397 x 642 x 816 = 3112170581376

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.

116 : 1, 2, 4, 29, 58, 116

129 : 1, 3, 43, 129

397 : 1, 397

642 : 1, 2, 3, 6, 107, 214, 321, 642

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,129,397,642,816, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

129:3x 43

397:397

642:2x 3x 107

816:2x 2x 2x 2x 3x 17

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 3112170581376/(1x72)

LCM = 3112170581376/72

LCM = 43224591408

Thus, we can understand that the LCM of 116,129,397,642,816 is 43224591408.

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

• LCM of 443, 492, 701, 331, 121
• LCM of 162, 444, 592, 781, 101
• LCM of 765, 501, 457, 304, 165
• LCM of 369, 969, 625, 928, 630
• LCM of 141, 455, 726, 972, 134

1. What is the LCM of 116, 129, 397, 642, 816?

Answer: LCM of 116, 129, 397, 642, 816 is 43224591408.

2. How to calculate the LCM of 116, 129, 397, 642, 816?

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 116, 129, 397, 642, 816.

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}.