Given numbers are 812,420,854,251,221

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

The LCM of 812,420,854,251,221 is 41213843580.

Find LCM of 812,420,854,251,221 with Prime Factorization

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

2 x 2 x 7 x 29 x 15 x 61 x 251 x 221 = 41213843580

Therefore, the lowest common multiple of 812,420,854,251,221 is 41213843580.

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.

812 x 420 x 854 x 251 x 221 = 16155826683360

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

854 : 1, 2, 7, 14, 61, 122, 427, 854

251 : 1, 251

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,420,854,251,221, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

420:2x 2x 3x 5x 7

854:2x 7x 61

251:251

221:13x 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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 16155826683360/(1x392)

LCM = 16155826683360/392

LCM = 41213843580

Thus, we can understand that the LCM of 812,420,854,251,221 is 41213843580.

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

• LCM of 500, 272, 996, 899, 535
• LCM of 476, 334, 959, 307, 166
• LCM of 690, 267, 296, 705, 235
• LCM of 725, 662, 733, 254, 362
• LCM of 924, 214, 935, 857, 809

1. What is the LCM of 812, 420, 854, 251, 221?

Answer: LCM of 812, 420, 854, 251, 221 is 41213843580.

2. How to calculate the LCM of 812, 420, 854, 251, 221?

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 812, 420, 854, 251, 221.

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}.