Given numbers are 71,80,68,382

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

The LCM of 71,80,68,382 is 18442960.

Find LCM of 71,80,68,382 with Prime Factorization

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

2 x 2 x 71 x 20 x 17 x 191 = 18442960

Therefore, the lowest common multiple of 71,80,68,382 is 18442960.

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.

71 x 80 x 68 x 382 = 147543680

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.

71 : 1, 71

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

68 : 1, 2, 4, 17, 34, 68

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 71,80,68,382, is 1.

Now, the common factors can be found like this.

71:71

80:2x 2x 2x 2x 5

68:2x 2x 17

382:2x 191

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 2 = 8

Therefore, the value for common factors is 8.

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 = 147543680/(1x8)

LCM = 147543680/8

LCM = 18442960

Thus, we can understand that the LCM of 71,80,68,382 is 18442960.

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

• LCM of 67, 37, 77, 959
• LCM of 13, 73, 61, 256
• LCM of 14, 38, 78, 481
• LCM of 88, 45, 26, 551
• LCM of 87, 82, 72, 816

1. What is the LCM of 71, 80, 68, 382?

Answer: LCM of 71, 80, 68, 382 is 18442960.

2. How to calculate the LCM of 71, 80, 68, 382?

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 71, 80, 68, 382.

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}.