Given numbers are 513,265,460,388

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

The LCM of 513,265,460,388 is 1213173180.

Find LCM of 513,265,460,388 with Prime Factorization

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

2 x 2 x 5 x 513 x 53 x 23 x 97 = 1213173180

Therefore, the lowest common multiple of 513,265,460,388 is 1213173180.

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.

513 x 265 x 460 x 388 = 24263463600

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

265 : 1, 5, 53, 265

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,265,460,388, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

265:5x 53

460:2x 2x 5x 23

388:2x 2x 97

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 5 = 20

Therefore, the value for common factors is 20.

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 = 24263463600/(1x20)

LCM = 24263463600/20

LCM = 1213173180

Thus, we can understand that the LCM of 513,265,460,388 is 1213173180.

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

• LCM of 315, 491, 702, 744
• LCM of 394, 870, 858, 466
• LCM of 123, 641, 589, 113
• LCM of 887, 829, 578, 877
• LCM of 180, 854, 404, 308

1. What is the LCM of 513, 265, 460, 388?

Answer: LCM of 513, 265, 460, 388 is 1213173180.

2. How to calculate the LCM of 513, 265, 460, 388?

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 513, 265, 460, 388.

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}.