Given numbers are 106,688,130,407

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

The LCM of 106,688,130,407 is 964655120.

Find LCM of 106,688,130,407 with Prime Factorization

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

2 x 53 x 344 x 65 x 407 = 964655120

Therefore, the lowest common multiple of 106,688,130,407 is 964655120.

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.

106 x 688 x 130 x 407 = 3858620480

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.

106 : 1, 2, 53, 106

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,688,130,407, is 1.

Now, the common factors can be found like this.

106:2x 53

688:2x 2x 2x 2x 43

130:2x 5x 13

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 2 = 4

Therefore, the value for common factors is 4.

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 = 3858620480/(1x4)

LCM = 3858620480/4

LCM = 964655120

Thus, we can understand that the LCM of 106,688,130,407 is 964655120.

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

• LCM of 936, 448, 174, 340
• LCM of 346, 817, 686, 789
• LCM of 803, 740, 589, 913
• LCM of 843, 431, 408, 493
• LCM of 765, 361, 492, 778

1. What is the LCM of 106, 688, 130, 407?

Answer: LCM of 106, 688, 130, 407 is 964655120.

2. How to calculate the LCM of 106, 688, 130, 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 106, 688, 130, 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}.