Given numbers are 493,969,819,435,660

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

The LCM of 493,969,819,435,660 is 1687746060.

Find LCM of 493,969,819,435,660 with Prime Factorization

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

3 x 5 x 17 x 29 x 1 x 19 x 273 x 1 x 44 = 1687746060

Therefore, the lowest common multiple of 493,969,819,435,660 is 1687746060.

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.

493 x 969 x 819 x 435 x 660 = 112327939023300

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.

493 : 1, 17, 29, 493

969 : 1, 3, 17, 19, 51, 57, 323, 969

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

435 : 1, 3, 5, 15, 29, 87, 145, 435

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,969,819,435,660, is 1.

Now, the common factors can be found like this.

493:17x 29

969:3x 17x 19

819:3x 3x 7x 13

435:3x 5x 29

660:2x 2x 3x 5x 11

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

3x 3x 3x 5x 17x 29 = 66555

Therefore, the value for common factors is 66555.

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 = 112327939023300/(1x66555)

LCM = 112327939023300/66555

LCM = 1687746060

Thus, we can understand that the LCM of 493,969,819,435,660 is 1687746060.

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

• LCM of 707, 424, 169, 198, 692
• LCM of 556, 762, 870, 343, 694
• LCM of 936, 578, 904, 505, 643
• LCM of 269, 527, 912, 493, 282
• LCM of 580, 729, 653, 920, 289

1. What is the LCM of 493, 969, 819, 435, 660?

Answer: LCM of 493, 969, 819, 435, 660 is 1687746060.

2. How to calculate the LCM of 493, 969, 819, 435, 660?

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 493, 969, 819, 435, 660.

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}.