Given numbers are 504,506,442,128,578

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

The LCM of 504,506,442,128,578 is 7665001344.

Find LCM of 504,506,442,128,578 with Prime Factorization

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

2 x 2 x 2 x 17 x 63 x 253 x 13 x 16 x 17 = 7665001344

Therefore, the lowest common multiple of 504,506,442,128,578 is 7665001344.

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 506 x 442 x 128 x 578 = 8339521462272

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

442 : 1, 2, 13, 17, 26, 34, 221, 442

128 : 1, 2, 4, 8, 16, 32, 64, 128

578 : 1, 2, 17, 34, 289, 578

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,506,442,128,578, is 2.

Now, the common factors can be found like this.

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

506:2x 11x 23

442:2x 13x 17

128:2x 2x 2x 2x 2x 2x 2

578:2x 17x 17

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 17 = 544

Therefore, the value for common factors is 544.

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 = 8339521462272/(2x544)

LCM = 8339521462272/1088

LCM = 7665001344

Thus, we can understand that the LCM of 504,506,442,128,578 is 7665001344.

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

• LCM of 945, 386, 239, 448, 406
• LCM of 654, 606, 355, 937, 273
• LCM of 904, 719, 979, 342, 389
• LCM of 698, 913, 619, 901, 765
• LCM of 861, 300, 167, 888, 897

1. What is the LCM of 504, 506, 442, 128, 578?

Answer: LCM of 504, 506, 442, 128, 578 is 7665001344.

2. How to calculate the LCM of 504, 506, 442, 128, 578?

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, 506, 442, 128, 578.

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}.