Given numbers are 470,544,120,792,270

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

The LCM of 470,544,120,792,270 is 37968480.

Find LCM of 470,544,120,792,270 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 47 x 68 x 1 x 11 x 3 = 37968480

Therefore, the lowest common multiple of 470,544,120,792,270 is 37968480.

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.

470 x 544 x 120 x 792 x 270 = 6560953344000

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,544,120,792,270, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

544:2x 2x 2x 2x 2x 17

120:2x 2x 2x 3x 5

792:2x 2x 2x 3x 3x 11

270:2x 3x 3x 3x 5

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 3x 5x 5 = 86400

Therefore, the value for common factors is 86400.

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 = 6560953344000/(2x86400)

LCM = 6560953344000/172800

LCM = 37968480

Thus, we can understand that the LCM of 470,544,120,792,270 is 37968480.

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

• LCM of 612, 705, 697, 355, 620
• LCM of 802, 304, 166, 319, 535
• LCM of 275, 811, 962, 727, 560
• LCM of 493, 722, 535, 308, 145
• LCM of 157, 922, 240, 574, 193

1. What is the LCM of 470, 544, 120, 792, 270?

Answer: LCM of 470, 544, 120, 792, 270 is 37968480.

2. How to calculate the LCM of 470, 544, 120, 792, 270?

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 470, 544, 120, 792, 270.

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}.