Given numbers are 495,433,523,470,974

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

The LCM of 495,433,523,470,974 is 5131585850490.

Find LCM of 495,433,523,470,974 with Prime Factorization

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

2 x 5 x 99 x 433 x 523 x 47 x 487 = 5131585850490

Therefore, the lowest common multiple of 495,433,523,470,974 is 5131585850490.

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.

495 x 433 x 523 x 470 x 974 = 51315858504900

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

433 : 1, 433

523 : 1, 523

470 : 1, 2, 5, 10, 47, 94, 235, 470

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,433,523,470,974, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

433:433

523:523

470:2x 5x 47

974:2x 487

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 51315858504900/(1x10)

LCM = 51315858504900/10

LCM = 5131585850490

Thus, we can understand that the LCM of 495,433,523,470,974 is 5131585850490.

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

• LCM of 495, 723, 957, 891, 651
• LCM of 105, 707, 420, 570, 139
• LCM of 387, 935, 477, 323, 109
• LCM of 138, 713, 770, 198, 564
• LCM of 419, 341, 612, 483, 704

1. What is the LCM of 495, 433, 523, 470, 974?

Answer: LCM of 495, 433, 523, 470, 974 is 5131585850490.

2. How to calculate the LCM of 495, 433, 523, 470, 974?

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 495, 433, 523, 470, 974.

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}.