Given numbers are 578,747,860,714

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

The LCM of 578,747,860,714 is 1299615660.

Find LCM of 578,747,860,714 with Prime Factorization

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

2 x 3 x 17 x 17 x 249 x 430 x 7 = 1299615660

Therefore, the lowest common multiple of 578,747,860,714 is 1299615660.

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.

578 x 747 x 860 x 714 = 265121594640

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.

578 : 1, 2, 17, 34, 289, 578

747 : 1, 3, 9, 83, 249, 747

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,747,860,714, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

747:3x 3x 83

860:2x 2x 5x 43

714:2x 3x 7x 17

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 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 265121594640/(1x204)

LCM = 265121594640/204

LCM = 1299615660

Thus, we can understand that the LCM of 578,747,860,714 is 1299615660.

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

• LCM of 680, 409, 192, 990
• LCM of 657, 144, 269, 545
• LCM of 991, 134, 940, 670
• LCM of 109, 322, 105, 659
• LCM of 313, 870, 878, 265

1. What is the LCM of 578, 747, 860, 714?

Answer: LCM of 578, 747, 860, 714 is 1299615660.

2. How to calculate the LCM of 578, 747, 860, 714?

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 578, 747, 860, 714.

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}.