Given numbers are 717,312,289,387

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

The LCM of 717,312,289,387 is 2779969608.

Find LCM of 717,312,289,387 with Prime Factorization

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

3 x 239 x 104 x 289 x 129 = 2779969608

Therefore, the lowest common multiple of 717,312,289,387 is 2779969608.

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.

717 x 312 x 289 x 387 = 25019726472

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.

717 : 1, 3, 239, 717

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

289 : 1, 17, 289

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,312,289,387, is 1.

Now, the common factors can be found like this.

717:3x 239

312:2x 2x 2x 3x 13

289:17x 17

387:3x 3x 43

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 25019726472/(1x9)

LCM = 25019726472/9

LCM = 2779969608

Thus, we can understand that the LCM of 717,312,289,387 is 2779969608.

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

• LCM of 515, 340, 465, 511
• LCM of 119, 616, 379, 455
• LCM of 209, 480, 693, 407
• LCM of 704, 746, 342, 545
• LCM of 533, 158, 888, 910

1. What is the LCM of 717, 312, 289, 387?

Answer: LCM of 717, 312, 289, 387 is 2779969608.

2. How to calculate the LCM of 717, 312, 289, 387?

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 717, 312, 289, 387.

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}.