Given numbers are 494,102,295,188,359

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

The LCM of 494,102,295,188,359 is 250808033580.

Find LCM of 494,102,295,188,359 with Prime Factorization

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

2 x 247 x 51 x 295 x 94 x 359 = 250808033580

Therefore, the lowest common multiple of 494,102,295,188,359 is 250808033580.

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 102 x 295 x 188 x 359 = 1003232134320

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

295 : 1, 5, 59, 295

188 : 1, 2, 4, 47, 94, 188

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,102,295,188,359, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

102:2x 3x 17

295:5x 59

188:2x 2x 47

359:359

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1003232134320/(1x4)

LCM = 1003232134320/4

LCM = 250808033580

Thus, we can understand that the LCM of 494,102,295,188,359 is 250808033580.

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

• LCM of 109, 943, 674, 436, 144
• LCM of 124, 226, 570, 640, 632
• LCM of 915, 325, 315, 747, 643
• LCM of 713, 447, 397, 454, 119
• LCM of 538, 622, 897, 593, 463

1. What is the LCM of 494, 102, 295, 188, 359?

Answer: LCM of 494, 102, 295, 188, 359 is 250808033580.

2. How to calculate the LCM of 494, 102, 295, 188, 359?

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, 102, 295, 188, 359.

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}.