Given numbers are 687,565,730,457,448

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

The LCM of 687,565,730,457,448 is 5801259051840.

Find LCM of 687,565,730,457,448 with Prime Factorization

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

2 x 5 x 687 x 113 x 73 x 457 x 224 = 5801259051840

Therefore, the lowest common multiple of 687,565,730,457,448 is 5801259051840.

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.

687 x 565 x 730 x 457 x 448 = 58012590518400

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.

687 : 1, 3, 229, 687

565 : 1, 5, 113, 565

730 : 1, 2, 5, 10, 73, 146, 365, 730

457 : 1, 457

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,565,730,457,448, is 1.

Now, the common factors can be found like this.

687:3x 229

565:5x 113

730:2x 5x 73

457:457

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

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 58012590518400/(1x10)

LCM = 58012590518400/10

LCM = 5801259051840

Thus, we can understand that the LCM of 687,565,730,457,448 is 5801259051840.

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

• LCM of 154, 354, 478, 333, 211
• LCM of 765, 804, 823, 449, 247
• LCM of 414, 411, 982, 965, 886
• LCM of 392, 494, 886, 731, 156
• LCM of 560, 735, 641, 313, 200

1. What is the LCM of 687, 565, 730, 457, 448?

Answer: LCM of 687, 565, 730, 457, 448 is 5801259051840.

2. How to calculate the LCM of 687, 565, 730, 457, 448?

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 687, 565, 730, 457, 448.

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}.