Given numbers are 789,714,575,382,702

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

The LCM of 789,714,575,382,702 is 2412909503550.

Find LCM of 789,714,575,382,702 with Prime Factorization

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

2 x 3 x 263 x 119 x 575 x 191 x 117 = 2412909503550

Therefore, the lowest common multiple of 789,714,575,382,702 is 2412909503550.

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.

789 x 714 x 575 x 382 x 702 = 86864742127800

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.

789 : 1, 3, 263, 789

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

575 : 1, 5, 23, 25, 115, 575

382 : 1, 2, 191, 382

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,714,575,382,702, is 1.

Now, the common factors can be found like this.

789:3x 263

714:2x 3x 7x 17

575:5x 5x 23

382:2x 191

702:2x 3x 3x 3x 13

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 3 = 36

Therefore, the value for common factors is 36.

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 = 86864742127800/(1x36)

LCM = 86864742127800/36

LCM = 2412909503550

Thus, we can understand that the LCM of 789,714,575,382,702 is 2412909503550.

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

• LCM of 960, 695, 572, 592, 190
• LCM of 775, 517, 872, 536, 937
• LCM of 847, 466, 989, 521, 364
• LCM of 946, 593, 357, 457, 185
• LCM of 829, 414, 775, 102, 375

1. What is the LCM of 789, 714, 575, 382, 702?

Answer: LCM of 789, 714, 575, 382, 702 is 2412909503550.

2. How to calculate the LCM of 789, 714, 575, 382, 702?

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 789, 714, 575, 382, 702.

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}.