Given numbers are 106,552,624,344

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

The LCM of 106,552,624,344 is 32708208.

Find LCM of 106,552,624,344 with Prime Factorization

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

2 x 2 x 2 x 3 x 53 x 23 x 26 x 43 = 32708208

Therefore, the lowest common multiple of 106,552,624,344 is 32708208.

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 552 x 624 x 344 = 12559951872

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,552,624,344, is 2.

Now, the common factors can be found like this.

106:2x 53

552:2x 2x 2x 3x 23

624:2x 2x 2x 2x 3x 13

344:2x 2x 2x 43

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 12559951872/(2x192)

LCM = 12559951872/384

LCM = 32708208

Thus, we can understand that the LCM of 106,552,624,344 is 32708208.

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

• LCM of 666, 369, 709, 830
• LCM of 557, 350, 333, 302
• LCM of 906, 185, 734, 106
• LCM of 234, 254, 141, 377
• LCM of 487, 335, 132, 854

1. What is the LCM of 106, 552, 624, 344?

Answer: LCM of 106, 552, 624, 344 is 32708208.

2. How to calculate the LCM of 106, 552, 624, 344?

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, 552, 624, 344.

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}.