Given numbers are 317,282,954,924,354

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

The LCM of 317,282,954,924,354 is 129145187556.

Find LCM of 317,282,954,924,354 with Prime Factorization

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

2 x 3 x 317 x 47 x 159 x 154 x 59 = 129145187556

Therefore, the lowest common multiple of 317,282,954,924,354 is 129145187556.

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.

317 x 282 x 954 x 924 x 354 = 27895360512096

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.

317 : 1, 317

282 : 1, 2, 3, 6, 47, 94, 141, 282

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,282,954,924,354, is 1.

Now, the common factors can be found like this.

317:317

282:2x 3x 47

954:2x 3x 3x 53

924:2x 2x 3x 7x 11

354:2x 3x 59

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 27895360512096/(1x216)

LCM = 27895360512096/216

LCM = 129145187556

Thus, we can understand that the LCM of 317,282,954,924,354 is 129145187556.

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

• LCM of 620, 861, 770, 328, 225
• LCM of 898, 445, 959, 404, 616
• LCM of 825, 262, 711, 726, 529
• LCM of 549, 955, 650, 154, 878
• LCM of 773, 571, 416, 331, 737

1. What is the LCM of 317, 282, 954, 924, 354?

Answer: LCM of 317, 282, 954, 924, 354 is 129145187556.

2. How to calculate the LCM of 317, 282, 954, 924, 354?

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 317, 282, 954, 924, 354.

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}.