Given numbers are 906,548,468,687,497

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

The LCM of 906,548,468,687,497 is 1101882380508.

Find LCM of 906,548,468,687,497 with Prime Factorization

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

2 x 2 x 3 x 151 x 137 x 39 x 229 x 497 = 1101882380508

Therefore, the lowest common multiple of 906,548,468,687,497 is 1101882380508.

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.

906 x 548 x 468 x 687 x 497 = 79335531396576

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

548 : 1, 2, 4, 137, 274, 548

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

687 : 1, 3, 229, 687

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,548,468,687,497, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

548:2x 2x 137

468:2x 2x 3x 3x 13

687:3x 229

497:7x 71

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 79335531396576/(1x72)

LCM = 79335531396576/72

LCM = 1101882380508

Thus, we can understand that the LCM of 906,548,468,687,497 is 1101882380508.

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

• LCM of 180, 544, 551, 932, 712
• LCM of 146, 351, 902, 429, 462
• LCM of 789, 326, 604, 609, 643
• LCM of 517, 704, 884, 363, 333
• LCM of 284, 561, 877, 197, 870

1. What is the LCM of 906, 548, 468, 687, 497?

Answer: LCM of 906, 548, 468, 687, 497 is 1101882380508.

2. How to calculate the LCM of 906, 548, 468, 687, 497?

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 906, 548, 468, 687, 497.

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}.