Given numbers are 300,374,509,577,504

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

The LCM of 300,374,509,577,504 is 691999446600.

Find LCM of 300,374,509,577,504 with Prime Factorization

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

2 x 2 x 3 x 25 x 187 x 509 x 577 x 42 = 691999446600

Therefore, the lowest common multiple of 300,374,509,577,504 is 691999446600.

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.

300 x 374 x 509 x 577 x 504 = 16607986718400

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

374 : 1, 2, 11, 17, 22, 34, 187, 374

509 : 1, 509

577 : 1, 577

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,374,509,577,504, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

374:2x 11x 17

509:509

577:577

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

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 3 = 24

Therefore, the value for common factors is 24.

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 = 16607986718400/(1x24)

LCM = 16607986718400/24

LCM = 691999446600

Thus, we can understand that the LCM of 300,374,509,577,504 is 691999446600.

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

• LCM of 806, 462, 808, 188, 252
• LCM of 478, 643, 714, 458, 895
• LCM of 496, 493, 654, 669, 774
• LCM of 347, 548, 731, 429, 375
• LCM of 203, 880, 729, 630, 633

1. What is the LCM of 300, 374, 509, 577, 504?

Answer: LCM of 300, 374, 509, 577, 504 is 691999446600.

2. How to calculate the LCM of 300, 374, 509, 577, 504?

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 300, 374, 509, 577, 504.

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}.