Given numbers are 494,201,408,948,544

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

The LCM of 494,201,408,948,544 is 2133629472.

Find LCM of 494,201,408,948,544 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 247 x 67 x 1 x 79 x 4 = 2133629472

Therefore, the lowest common multiple of 494,201,408,948,544 is 2133629472.

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 201 x 408 x 948 x 544 = 20892499789824

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

201 : 1, 3, 67, 201

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,201,408,948,544, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

201:3x 67

408:2x 2x 2x 3x 17

948:2x 2x 3x 79

544:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 3x 3x 17 = 9792

Therefore, the value for common factors is 9792.

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 = 20892499789824/(1x9792)

LCM = 20892499789824/9792

LCM = 2133629472

Thus, we can understand that the LCM of 494,201,408,948,544 is 2133629472.

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

• LCM of 322, 238, 319, 308, 495
• LCM of 745, 870, 690, 310, 869
• LCM of 966, 146, 344, 582, 751
• LCM of 122, 491, 259, 522, 707
• LCM of 354, 721, 499, 285, 639

1. What is the LCM of 494, 201, 408, 948, 544?

Answer: LCM of 494, 201, 408, 948, 544 is 2133629472.

2. How to calculate the LCM of 494, 201, 408, 948, 544?

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, 201, 408, 948, 544.

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}.