Given numbers are 269,130,730,733,493

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

The LCM of 269,130,730,733,493 is 922506396890.

Find LCM of 269,130,730,733,493 with Prime Factorization

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

2 x 5 x 269 x 13 x 73 x 733 x 493 = 922506396890

Therefore, the lowest common multiple of 269,130,730,733,493 is 922506396890.

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.

269 x 130 x 730 x 733 x 493 = 9225063968900

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.

269 : 1, 269

130 : 1, 2, 5, 10, 13, 26, 65, 130

730 : 1, 2, 5, 10, 73, 146, 365, 730

733 : 1, 733

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,130,730,733,493, is 1.

Now, the common factors can be found like this.

269:269

130:2x 5x 13

730:2x 5x 73

733:733

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 5 = 10

Therefore, the value for common factors is 10.

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 = 9225063968900/(1x10)

LCM = 9225063968900/10

LCM = 922506396890

Thus, we can understand that the LCM of 269,130,730,733,493 is 922506396890.

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

• LCM of 101, 122, 984, 108, 998
• LCM of 891, 898, 927, 293, 184
• LCM of 355, 873, 455, 272, 507
• LCM of 214, 500, 366, 124, 731
• LCM of 238, 164, 949, 423, 677

1. What is the LCM of 269, 130, 730, 733, 493?

Answer: LCM of 269, 130, 730, 733, 493 is 922506396890.

2. How to calculate the LCM of 269, 130, 730, 733, 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 269, 130, 730, 733, 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}.