Given numbers are 714,206,988,330,334

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

The LCM of 714,206,988,330,334 is 333688735380.

Find LCM of 714,206,988,330,334 with Prime Factorization

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

2 x 3 x 119 x 103 x 494 x 55 x 167 = 333688735380

Therefore, the lowest common multiple of 714,206,988,330,334 is 333688735380.

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.

714 x 206 x 988 x 330 x 334 = 16017059298240

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.

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

206 : 1, 2, 103, 206

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

334 : 1, 2, 167, 334

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,206,988,330,334, is 2.

Now, the common factors can be found like this.

714:2x 3x 7x 17

206:2x 103

988:2x 2x 13x 19

330:2x 3x 5x 11

334:2x 167

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 3 = 24

Therefore, the value for common factors is 24.

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 = 16017059298240/(2x24)

LCM = 16017059298240/48

LCM = 333688735380

Thus, we can understand that the LCM of 714,206,988,330,334 is 333688735380.

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

• LCM of 510, 903, 727, 687, 480
• LCM of 814, 580, 171, 379, 824
• LCM of 969, 759, 805, 363, 203
• LCM of 575, 109, 317, 760, 502
• LCM of 330, 593, 113, 175, 995

1. What is the LCM of 714, 206, 988, 330, 334?

Answer: LCM of 714, 206, 988, 330, 334 is 333688735380.

2. How to calculate the LCM of 714, 206, 988, 330, 334?

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 714, 206, 988, 330, 334.

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}.