Given numbers are 214,407,558,328,116

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

The LCM of 214,407,558,328,116 is 115572426552.

Find LCM of 214,407,558,328,116 with Prime Factorization

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

2 x 2 x 107 x 407 x 279 x 82 x 29 = 115572426552

Therefore, the lowest common multiple of 214,407,558,328,116 is 115572426552.

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 407 x 558 x 328 x 116 = 1849158824832

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

407 : 1, 11, 37, 407

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

328 : 1, 2, 4, 8, 41, 82, 164, 328

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,407,558,328,116, is 1.

Now, the common factors can be found like this.

214:2x 107

407:11x 37

558:2x 3x 3x 31

328:2x 2x 2x 41

116:2x 2x 29

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 2 = 16

Therefore, the value for common factors is 16.

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 = 1849158824832/(1x16)

LCM = 1849158824832/16

LCM = 115572426552

Thus, we can understand that the LCM of 214,407,558,328,116 is 115572426552.

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

• LCM of 294, 631, 360, 931, 241
• LCM of 369, 175, 726, 665, 984
• LCM of 919, 590, 936, 394, 654
• LCM of 835, 417, 621, 684, 853
• LCM of 933, 225, 894, 252, 297

1. What is the LCM of 214, 407, 558, 328, 116?

Answer: LCM of 214, 407, 558, 328, 116 is 115572426552.

2. How to calculate the LCM of 214, 407, 558, 328, 116?

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, 407, 558, 328, 116.

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}.