Given numbers are 728,767,412,514

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

The LCM of 728,767,412,514 is 1136982392.

Find LCM of 728,767,412,514 with Prime Factorization

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

2 x 2 x 13 x 14 x 59 x 103 x 257 = 1136982392

Therefore, the lowest common multiple of 728,767,412,514 is 1136982392.

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.

728 x 767 x 412 x 514 = 118246168768

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

767 : 1, 13, 59, 767

412 : 1, 2, 4, 103, 206, 412

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,767,412,514, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

767:13x 59

412:2x 2x 103

514:2x 257

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 118246168768/(1x104)

LCM = 118246168768/104

LCM = 1136982392

Thus, we can understand that the LCM of 728,767,412,514 is 1136982392.

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

• LCM of 789, 461, 578, 384
• LCM of 558, 436, 327, 662
• LCM of 805, 177, 333, 396
• LCM of 386, 409, 459, 963
• LCM of 270, 674, 450, 231

1. What is the LCM of 728, 767, 412, 514?

Answer: LCM of 728, 767, 412, 514 is 1136982392.

2. How to calculate the LCM of 728, 767, 412, 514?

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 728, 767, 412, 514.

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}.