Given numbers are 220,272,676,836,360

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

The LCM of 220,272,676,836,360 is 432329040.

Find LCM of 220,272,676,836,360 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 1 x 34 x 169 x 19 x 9 = 432329040

Therefore, the lowest common multiple of 220,272,676,836,360 is 432329040.

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.

220 x 272 x 676 x 836 x 360 = 12174385766400

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.

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,272,676,836,360, is 4.

Now, the common factors can be found like this.

220:2x 2x 5x 11

272:2x 2x 2x 2x 17

676:2x 2x 13x 13

836:2x 2x 11x 19

360:2x 2x 2x 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 5x 11 = 7040

Therefore, the value for common factors is 7040.

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 = 12174385766400/(4x7040)

LCM = 12174385766400/28160

LCM = 432329040

Thus, we can understand that the LCM of 220,272,676,836,360 is 432329040.

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

• LCM of 375, 715, 441, 396, 648
• LCM of 777, 441, 793, 697, 379
• LCM of 645, 434, 309, 470, 706
• LCM of 873, 227, 927, 877, 966
• LCM of 772, 865, 697, 991, 838

1. What is the LCM of 220, 272, 676, 836, 360?

Answer: LCM of 220, 272, 676, 836, 360 is 432329040.

2. How to calculate the LCM of 220, 272, 676, 836, 360?

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 220, 272, 676, 836, 360.

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}.