Given numbers are 106,326,924,720,304

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

The LCM of 106,326,924,720,304 is 9099977040.

Find LCM of 106,326,924,720,304 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 53 x 163 x 77 x 15 x 19 = 9099977040

Therefore, the lowest common multiple of 106,326,924,720,304 is 9099977040.

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 326 x 924 x 720 x 304 = 6988782366720

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

326 : 1, 2, 163, 326

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,326,924,720,304, is 2.

Now, the common factors can be found like this.

106:2x 53

326:2x 163

924:2x 2x 3x 7x 11

720:2x 2x 2x 2x 3x 3x 5

304:2x 2x 2x 2x 19

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 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 6988782366720/(2x384)

LCM = 6988782366720/768

LCM = 9099977040

Thus, we can understand that the LCM of 106,326,924,720,304 is 9099977040.

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

• LCM of 924, 840, 655, 162, 196
• LCM of 700, 624, 745, 255, 205
• LCM of 784, 866, 140, 977, 799
• LCM of 247, 588, 229, 791, 208
• LCM of 885, 212, 313, 183, 161

1. What is the LCM of 106, 326, 924, 720, 304?

Answer: LCM of 106, 326, 924, 720, 304 is 9099977040.

2. How to calculate the LCM of 106, 326, 924, 720, 304?

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, 326, 924, 720, 304.

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}.