Given numbers are 507,129,687,192,448

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

The LCM of 507,129,687,192,448 is 2236608192.

Find LCM of 507,129,687,192,448 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 169 x 43 x 229 x 1 x 7 = 2236608192

Therefore, the lowest common multiple of 507,129,687,192,448 is 2236608192.

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.

507 x 129 x 687 x 192 x 448 = 3864858955776

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.

507 : 1, 3, 13, 39, 169, 507

129 : 1, 3, 43, 129

687 : 1, 3, 229, 687

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 507,129,687,192,448, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

129:3x 43

687:3x 229

192:2x 2x 2x 2x 2x 2x 3

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 2x 2x 2x 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 3864858955776/(1x1728)

LCM = 3864858955776/1728

LCM = 2236608192

Thus, we can understand that the LCM of 507,129,687,192,448 is 2236608192.

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

• LCM of 579, 538, 354, 129, 603
• LCM of 506, 926, 489, 632, 630
• LCM of 744, 438, 998, 107, 774
• LCM of 302, 522, 703, 938, 146
• LCM of 525, 250, 879, 259, 488

1. What is the LCM of 507, 129, 687, 192, 448?

Answer: LCM of 507, 129, 687, 192, 448 is 2236608192.

2. How to calculate the LCM of 507, 129, 687, 192, 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 507, 129, 687, 192, 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}.