Given numbers are 642,780,725,406,487

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

The LCM of 642,780,725,406,487 is 41254695300.

Find LCM of 642,780,725,406,487 with Prime Factorization

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

2 x 3 x 5 x 29 x 107 x 26 x 5 x 7 x 487 = 41254695300

Therefore, the lowest common multiple of 642,780,725,406,487 is 41254695300.

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.

642 x 780 x 725 x 406 x 487 = 71783169822000

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

725 : 1, 5, 25, 29, 145, 725

406 : 1, 2, 7, 14, 29, 58, 203, 406

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,780,725,406,487, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

780:2x 2x 3x 5x 13

725:5x 5x 29

406:2x 7x 29

487:487

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 3x 5x 29 = 1740

Therefore, the value for common factors is 1740.

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 = 71783169822000/(1x1740)

LCM = 71783169822000/1740

LCM = 41254695300

Thus, we can understand that the LCM of 642,780,725,406,487 is 41254695300.

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

• LCM of 679, 350, 323, 908, 413
• LCM of 274, 149, 635, 397, 246
• LCM of 473, 103, 127, 589, 383
• LCM of 470, 375, 672, 681, 172
• LCM of 597, 784, 282, 391, 849

1. What is the LCM of 642, 780, 725, 406, 487?

Answer: LCM of 642, 780, 725, 406, 487 is 41254695300.

2. How to calculate the LCM of 642, 780, 725, 406, 487?

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 642, 780, 725, 406, 487.

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}.