Given numbers are 329,263,702,340,812

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

The LCM of 329,263,702,340,812 is 299457833220.

Find LCM of 329,263,702,340,812 with Prime Factorization

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

2 x 2 x 7 x 47 x 263 x 351 x 85 x 29 = 299457833220

Therefore, the lowest common multiple of 329,263,702,340,812 is 299457833220.

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.

329 x 263 x 702 x 340 x 812 = 16769638660320

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.

329 : 1, 7, 47, 329

263 : 1, 263

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,263,702,340,812, is 1.

Now, the common factors can be found like this.

329:7x 47

263:263

702:2x 3x 3x 3x 13

340:2x 2x 5x 17

812:2x 2x 7x 29

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 7 = 56

Therefore, the value for common factors is 56.

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 = 16769638660320/(1x56)

LCM = 16769638660320/56

LCM = 299457833220

Thus, we can understand that the LCM of 329,263,702,340,812 is 299457833220.

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

• LCM of 381, 260, 825, 289, 807
• LCM of 639, 553, 951, 824, 276
• LCM of 452, 209, 737, 988, 125
• LCM of 780, 518, 391, 330, 488
• LCM of 340, 255, 480, 667, 327

1. What is the LCM of 329, 263, 702, 340, 812?

Answer: LCM of 329, 263, 702, 340, 812 is 299457833220.

2. How to calculate the LCM of 329, 263, 702, 340, 812?

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 329, 263, 702, 340, 812.

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}.