Given numbers are 494,202,160,323,382

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

The LCM of 494,202,160,323,382 is 12960465440.

Find LCM of 494,202,160,323,382 with Prime Factorization

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

2 x 19 x 13 x 101 x 80 x 17 x 191 = 12960465440

Therefore, the lowest common multiple of 494,202,160,323,382 is 12960465440.

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.

494 x 202 x 160 x 323 x 382 = 1969990746880

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

202 : 1, 2, 101, 202

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

323 : 1, 17, 19, 323

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,202,160,323,382, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

202:2x 101

160:2x 2x 2x 2x 2x 5

323:17x 19

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 2x 19 = 152

Therefore, the value for common factors is 152.

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 = 1969990746880/(1x152)

LCM = 1969990746880/152

LCM = 12960465440

Thus, we can understand that the LCM of 494,202,160,323,382 is 12960465440.

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

• LCM of 912, 842, 540, 787, 762
• LCM of 779, 819, 575, 488, 301
• LCM of 849, 118, 342, 620, 981
• LCM of 724, 312, 251, 233, 605
• LCM of 593, 443, 488, 988, 224

1. What is the LCM of 494, 202, 160, 323, 382?

Answer: LCM of 494, 202, 160, 323, 382 is 12960465440.

2. How to calculate the LCM of 494, 202, 160, 323, 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 494, 202, 160, 323, 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}.