Given numbers are 448,782,431,324,722

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

The LCM of 448,782,431,324,722 is 2207619707328.

Find LCM of 448,782,431,324,722 with Prime Factorization

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

2 x 2 x 112 x 391 x 431 x 81 x 361 = 2207619707328

Therefore, the lowest common multiple of 448,782,431,324,722 is 2207619707328.

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.

448 x 782 x 431 x 324 x 722 = 35321915317248

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

782 : 1, 2, 17, 23, 34, 46, 391, 782

431 : 1, 431

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,782,431,324,722, is 1.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

782:2x 17x 23

431:431

324:2x 2x 3x 3x 3x 3

722:2x 19x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 35321915317248/(1x16)

LCM = 35321915317248/16

LCM = 2207619707328

Thus, we can understand that the LCM of 448,782,431,324,722 is 2207619707328.

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

• LCM of 497, 541, 862, 265, 586
• LCM of 683, 824, 796, 165, 603
• LCM of 641, 179, 462, 168, 246
• LCM of 738, 553, 136, 924, 917
• LCM of 941, 791, 820, 620, 232

1. What is the LCM of 448, 782, 431, 324, 722?

Answer: LCM of 448, 782, 431, 324, 722 is 2207619707328.

2. How to calculate the LCM of 448, 782, 431, 324, 722?

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 448, 782, 431, 324, 722.

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}.