Given numbers are 382,382,713,765

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

The LCM of 382,382,713,765 is 208359990.

Find LCM of 382,382,713,765 with Prime Factorization

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

2 x 191 x 1 x 1 x 713 x 765 = 208359990

Therefore, the lowest common multiple of 382,382,713,765 is 208359990.

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.

382 x 382 x 713 x 765 = 79593516180

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.

382 : 1, 2, 191, 382

382 : 1, 2, 191, 382

713 : 1, 23, 31, 713

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,382,713,765, is 1.

Now, the common factors can be found like this.

382:2x 191

382:2x 191

713:23x 31

765:3x 3x 5x 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 191 = 382

Therefore, the value for common factors is 382.

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 = 79593516180/(1x382)

LCM = 79593516180/382

LCM = 208359990

Thus, we can understand that the LCM of 382,382,713,765 is 208359990.

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

• LCM of 451, 756, 858, 311
• LCM of 179, 610, 714, 990
• LCM of 474, 892, 430, 504
• LCM of 221, 304, 520, 613
• LCM of 322, 373, 752, 534

1. What is the LCM of 382, 382, 713, 765?

Answer: LCM of 382, 382, 713, 765 is 208359990.

2. How to calculate the LCM of 382, 382, 713, 765?

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 382, 382, 713, 765.

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}.