Given numbers are 557,840,606,738,493

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

The LCM of 557,840,606,738,493 is 2865549307320.

Find LCM of 557,840,606,738,493 with Prime Factorization

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

2 x 3 x 557 x 140 x 101 x 123 x 493 = 2865549307320

Therefore, the lowest common multiple of 557,840,606,738,493 is 2865549307320.

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.

557 x 840 x 606 x 738 x 493 = 103159775063520

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.

557 : 1, 557

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

606 : 1, 2, 3, 6, 101, 202, 303, 606

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,840,606,738,493, is 1.

Now, the common factors can be found like this.

557:557

840:2x 2x 2x 3x 5x 7

606:2x 3x 101

738:2x 3x 3x 41

493:17x 29

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 3 = 36

Therefore, the value for common factors is 36.

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 = 103159775063520/(1x36)

LCM = 103159775063520/36

LCM = 2865549307320

Thus, we can understand that the LCM of 557,840,606,738,493 is 2865549307320.

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

• LCM of 937, 243, 492, 960, 314
• LCM of 886, 986, 957, 405, 555
• LCM of 347, 363, 751, 517, 252
• LCM of 390, 360, 439, 184, 937
• LCM of 607, 435, 971, 806, 249

1. What is the LCM of 557, 840, 606, 738, 493?

Answer: LCM of 557, 840, 606, 738, 493 is 2865549307320.

2. How to calculate the LCM of 557, 840, 606, 738, 493?

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 557, 840, 606, 738, 493.

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}.