Given numbers are 388,208,131,596,974

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

The LCM of 388,208,131,596,974 is 191788072528.

Find LCM of 388,208,131,596,974 with Prime Factorization

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

2 x 2 x 97 x 52 x 131 x 149 x 487 = 191788072528

Therefore, the lowest common multiple of 388,208,131,596,974 is 191788072528.

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 208 x 131 x 596 x 974 = 6137218320896

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

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

131 : 1, 131

596 : 1, 2, 4, 149, 298, 596

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,208,131,596,974, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

208:2x 2x 2x 2x 13

131:131

596:2x 2x 149

974:2x 487

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 2 = 32

Therefore, the value for common factors is 32.

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 = 6137218320896/(1x32)

LCM = 6137218320896/32

LCM = 191788072528

Thus, we can understand that the LCM of 388,208,131,596,974 is 191788072528.

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

• LCM of 282, 719, 257, 634, 282
• LCM of 460, 691, 999, 656, 119
• LCM of 639, 927, 501, 493, 383
• LCM of 848, 929, 204, 774, 191
• LCM of 852, 549, 505, 520, 878

1. What is the LCM of 388, 208, 131, 596, 974?

Answer: LCM of 388, 208, 131, 596, 974 is 191788072528.

2. How to calculate the LCM of 388, 208, 131, 596, 974?

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, 208, 131, 596, 974.

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}.