Given numbers are 504,318,591,470

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

The LCM of 504,318,591,470 is 1236632040.

Find LCM of 504,318,591,470 with Prime Factorization

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

2 x 3 x 84 x 53 x 197 x 235 = 1236632040

Therefore, the lowest common multiple of 504,318,591,470 is 1236632040.

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.

504 x 318 x 591 x 470 = 44518753440

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

318 : 1, 2, 3, 6, 53, 106, 159, 318

591 : 1, 3, 197, 591

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,318,591,470, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

318:2x 3x 53

591:3x 197

470:2x 5x 47

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 44518753440/(1x36)

LCM = 44518753440/36

LCM = 1236632040

Thus, we can understand that the LCM of 504,318,591,470 is 1236632040.

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

• LCM of 239, 542, 333, 603
• LCM of 178, 832, 301, 754
• LCM of 522, 377, 687, 459
• LCM of 465, 569, 461, 896
• LCM of 204, 633, 302, 322

1. What is the LCM of 504, 318, 591, 470?

Answer: LCM of 504, 318, 591, 470 is 1236632040.

2. How to calculate the LCM of 504, 318, 591, 470?

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 504, 318, 591, 470.

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}.