Given numbers are 812,257,312,396,242

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

The LCM of 812,257,312,396,242 is 5908678776.

Find LCM of 812,257,312,396,242 with Prime Factorization

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

2 x 2 x 3 x 11 x 203 x 257 x 26 x 3 x 11 = 5908678776

Therefore, the lowest common multiple of 812,257,312,396,242 is 5908678776.

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 257 x 312 x 396 x 242 = 6239564787456

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

257 : 1, 257

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,257,312,396,242, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

257:257

312:2x 2x 2x 3x 13

396:2x 2x 3x 3x 11

242:2x 11x 11

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 3x 11 = 1056

Therefore, the value for common factors is 1056.

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 = 6239564787456/(1x1056)

LCM = 6239564787456/1056

LCM = 5908678776

Thus, we can understand that the LCM of 812,257,312,396,242 is 5908678776.

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

• LCM of 999, 795, 837, 252, 254
• LCM of 621, 439, 396, 217, 469
• LCM of 549, 778, 893, 213, 179
• LCM of 199, 405, 594, 433, 629
• LCM of 998, 591, 795, 287, 165

1. What is the LCM of 812, 257, 312, 396, 242?

Answer: LCM of 812, 257, 312, 396, 242 is 5908678776.

2. How to calculate the LCM of 812, 257, 312, 396, 242?

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, 257, 312, 396, 242.

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}.