Given numbers are 688,386,129,407

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

The LCM of 688,386,129,407 is 162129264.

Find LCM of 688,386,129,407 with Prime Factorization

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

2 x 43 x 8 x 193 x 3 x 407 = 162129264

Therefore, the lowest common multiple of 688,386,129,407 is 162129264.

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.

688 x 386 x 129 x 407 = 13943116704

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

386 : 1, 2, 193, 386

129 : 1, 3, 43, 129

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,386,129,407, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

386:2x 193

129:3x 43

407:11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 43 = 86

Therefore, the value for common factors is 86.

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 = 13943116704/(1x86)

LCM = 13943116704/86

LCM = 162129264

Thus, we can understand that the LCM of 688,386,129,407 is 162129264.

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

• LCM of 444, 997, 742, 190
• LCM of 964, 937, 499, 476
• LCM of 232, 621, 820, 179
• LCM of 622, 383, 634, 943
• LCM of 525, 386, 122, 845

1. What is the LCM of 688, 386, 129, 407?

Answer: LCM of 688, 386, 129, 407 is 162129264.

2. How to calculate the LCM of 688, 386, 129, 407?

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 688, 386, 129, 407.

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}.