Given numbers are 464,629,241,680,812

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

The LCM of 464,629,241,680,812 is 2461805360.

Find LCM of 464,629,241,680,812 with Prime Factorization

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

2 x 2 x 2 x 17 x 29 x 2 x 37 x 241 x 5 x 7 = 2461805360

Therefore, the lowest common multiple of 464,629,241,680,812 is 2461805360.

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.

464 x 629 x 241 x 680 x 812 = 38837441359360

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

629 : 1, 17, 37, 629

241 : 1, 241

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 464,629,241,680,812, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

629:17x 37

241:241

680:2x 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 2x 2x 17x 29 = 15776

Therefore, the value for common factors is 15776.

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 = 38837441359360/(1x15776)

LCM = 38837441359360/15776

LCM = 2461805360

Thus, we can understand that the LCM of 464,629,241,680,812 is 2461805360.

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

• LCM of 912, 431, 764, 405, 850
• LCM of 907, 994, 348, 955, 911
• LCM of 702, 221, 761, 912, 365
• LCM of 360, 625, 751, 735, 860
• LCM of 112, 981, 659, 130, 758

1. What is the LCM of 464, 629, 241, 680, 812?

Answer: LCM of 464, 629, 241, 680, 812 is 2461805360.

2. How to calculate the LCM of 464, 629, 241, 680, 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 464, 629, 241, 680, 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}.