Given numbers are 440,112,555,306,920

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

The LCM of 440,112,555,306,920 is 802050480.

Find LCM of 440,112,555,306,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 14 x 37 x 51 x 23 = 802050480

Therefore, the lowest common multiple of 440,112,555,306,920 is 802050480.

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.

440 x 112 x 555 x 306 x 920 = 7699684608000

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

555 : 1, 3, 5, 15, 37, 111, 185, 555

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,112,555,306,920, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

112:2x 2x 2x 2x 7

555:3x 5x 37

306:2x 3x 3x 17

920:2x 2x 2x 5x 23

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 5x 5 = 9600

Therefore, the value for common factors is 9600.

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 = 7699684608000/(1x9600)

LCM = 7699684608000/9600

LCM = 802050480

Thus, we can understand that the LCM of 440,112,555,306,920 is 802050480.

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

• LCM of 338, 253, 824, 458, 515
• LCM of 654, 961, 409, 866, 317
• LCM of 944, 934, 305, 585, 807
• LCM of 293, 524, 623, 129, 297
• LCM of 648, 825, 457, 714, 713

1. What is the LCM of 440, 112, 555, 306, 920?

Answer: LCM of 440, 112, 555, 306, 920 is 802050480.

2. How to calculate the LCM of 440, 112, 555, 306, 920?

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 440, 112, 555, 306, 920.

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}.