Given numbers are 388,214,258,261,861

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

The LCM of 388,214,258,261,861 is 133723077516.

Find LCM of 388,214,258,261,861 with Prime Factorization

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

2 x 3 x 194 x 107 x 43 x 87 x 287 = 133723077516

Therefore, the lowest common multiple of 388,214,258,261,861 is 133723077516.

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.

388 x 214 x 258 x 261 x 861 = 4814030790576

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.

388 : 1, 2, 4, 97, 194, 388

214 : 1, 2, 107, 214

258 : 1, 2, 3, 6, 43, 86, 129, 258

261 : 1, 3, 9, 29, 87, 261

861 : 1, 3, 7, 21, 41, 123, 287, 861

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,214,258,261,861, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

214:2x 107

258:2x 3x 43

261:3x 3x 29

861:3x 7x 41

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 4814030790576/(1x36)

LCM = 4814030790576/36

LCM = 133723077516

Thus, we can understand that the LCM of 388,214,258,261,861 is 133723077516.

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

• LCM of 778, 937, 834, 500, 907
• LCM of 705, 386, 617, 831, 720
• LCM of 863, 863, 970, 878, 390
• LCM of 861, 934, 913, 896, 861
• LCM of 961, 331, 446, 954, 813

1. What is the LCM of 388, 214, 258, 261, 861?

Answer: LCM of 388, 214, 258, 261, 861 is 133723077516.

2. How to calculate the LCM of 388, 214, 258, 261, 861?

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 388, 214, 258, 261, 861.

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}.