Given numbers are 728,924,552,167,612

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

The LCM of 728,924,552,167,612 is 4706085384.

Find LCM of 728,924,552,167,612 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 11 x 23 x 167 x 51 = 4706085384

Therefore, the lowest common multiple of 728,924,552,167,612 is 4706085384.

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.

728 x 924 x 552 x 167 x 612 = 37949872536576

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

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

167 : 1, 167

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,924,552,167,612, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

924:2x 2x 3x 7x 11

552:2x 2x 2x 3x 23

167:167

612:2x 2x 3x 3x 17

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 3x 3x 7 = 8064

Therefore, the value for common factors is 8064.

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 = 37949872536576/(1x8064)

LCM = 37949872536576/8064

LCM = 4706085384

Thus, we can understand that the LCM of 728,924,552,167,612 is 4706085384.

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

• LCM of 996, 269, 842, 509, 333
• LCM of 345, 317, 295, 409, 792
• LCM of 442, 610, 206, 411, 883
• LCM of 657, 808, 548, 713, 657
• LCM of 793, 493, 987, 165, 456

1. What is the LCM of 728, 924, 552, 167, 612?

Answer: LCM of 728, 924, 552, 167, 612 is 4706085384.

2. How to calculate the LCM of 728, 924, 552, 167, 612?

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 728, 924, 552, 167, 612.

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}.