Given numbers are 390,269,530,493

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

The LCM of 390,269,530,493 is 2741193390.

Find LCM of 390,269,530,493 with Prime Factorization

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

2 x 5 x 39 x 269 x 53 x 493 = 2741193390

Therefore, the lowest common multiple of 390,269,530,493 is 2741193390.

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.

390 x 269 x 530 x 493 = 27411933900

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

269 : 1, 269

530 : 1, 2, 5, 10, 53, 106, 265, 530

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,269,530,493, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

269:269

530:2x 5x 53

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 = 27411933900/(1x10)

LCM = 27411933900/10

LCM = 2741193390

Thus, we can understand that the LCM of 390,269,530,493 is 2741193390.

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

• LCM of 634, 673, 223, 449
• LCM of 368, 822, 112, 459
• LCM of 716, 684, 687, 124
• LCM of 915, 567, 927, 664
• LCM of 554, 500, 924, 424

1. What is the LCM of 390, 269, 530, 493?

Answer: LCM of 390, 269, 530, 493 is 2741193390.

2. How to calculate the LCM of 390, 269, 530, 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 390, 269, 530, 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}.