Given numbers are 504,750,687,597

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

The LCM of 504,750,687,597 is 2870973000.

Find LCM of 504,750,687,597 with Prime Factorization

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

2 x 3 x 84 x 125 x 229 x 199 = 2870973000

Therefore, the lowest common multiple of 504,750,687,597 is 2870973000.

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 750 x 687 x 597 = 155032542000

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

687 : 1, 3, 229, 687

597 : 1, 3, 199, 597

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,750,687,597, is 3.

Now, the common factors can be found like this.

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

750:2x 3x 5x 5x 5

687:3x 229

597:3x 199

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 155032542000/(3x18)

LCM = 155032542000/54

LCM = 2870973000

Thus, we can understand that the LCM of 504,750,687,597 is 2870973000.

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

• LCM of 181, 204, 329, 881
• LCM of 873, 281, 197, 196
• LCM of 506, 341, 880, 793
• LCM of 659, 225, 815, 975
• LCM of 733, 346, 254, 600

1. What is the LCM of 504, 750, 687, 597?

Answer: LCM of 504, 750, 687, 597 is 2870973000.

2. How to calculate the LCM of 504, 750, 687, 597?

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, 750, 687, 597.

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}.