Given numbers are 382,170,371,364

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

The LCM of 382,170,371,364 is 313205620.

Find LCM of 382,170,371,364 with Prime Factorization

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

2 x 7 x 191 x 85 x 53 x 26 = 313205620

Therefore, the lowest common multiple of 382,170,371,364 is 313205620.

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 170 x 371 x 364 = 8769757360

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

170 : 1, 2, 5, 10, 17, 34, 85, 170

371 : 1, 7, 53, 371

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,170,371,364, is 1.

Now, the common factors can be found like this.

382:2x 191

170:2x 5x 17

371:7x 53

364:2x 2x 7x 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 7 = 28

Therefore, the value for common factors is 28.

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 = 8769757360/(1x28)

LCM = 8769757360/28

LCM = 313205620

Thus, we can understand that the LCM of 382,170,371,364 is 313205620.

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

• LCM of 736, 568, 845, 641
• LCM of 522, 593, 390, 498
• LCM of 910, 577, 157, 522
• LCM of 876, 397, 837, 310
• LCM of 941, 223, 835, 883

1. What is the LCM of 382, 170, 371, 364?

Answer: LCM of 382, 170, 371, 364 is 313205620.

2. How to calculate the LCM of 382, 170, 371, 364?

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, 170, 371, 364.

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}.