Given numbers are 504,610,872,424

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

The LCM of 504,610,872,424 is 888040440.

Find LCM of 504,610,872,424 with Prime Factorization

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

2 x 2 x 2 x 63 x 305 x 109 x 53 = 888040440

Therefore, the lowest common multiple of 504,610,872,424 is 888040440.

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 610 x 872 x 424 = 113669176320

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

872 : 1, 2, 4, 8, 109, 218, 436, 872

424 : 1, 2, 4, 8, 53, 106, 212, 424

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,610,872,424, is 2.

Now, the common factors can be found like this.

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

610:2x 5x 61

872:2x 2x 2x 109

424:2x 2x 2x 53

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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 113669176320/(2x64)

LCM = 113669176320/128

LCM = 888040440

Thus, we can understand that the LCM of 504,610,872,424 is 888040440.

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

• LCM of 500, 556, 928, 649
• LCM of 278, 988, 605, 658
• LCM of 148, 356, 242, 442
• LCM of 511, 951, 102, 693
• LCM of 130, 765, 314, 784

1. What is the LCM of 504, 610, 872, 424?

Answer: LCM of 504, 610, 872, 424 is 888040440.

2. How to calculate the LCM of 504, 610, 872, 424?

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, 610, 872, 424.

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}.