Given numbers are 504,276,460,584

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

The LCM of 504,276,460,584 is 4231080.

Find LCM of 504,276,460,584 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 21 x 1 x 5 x 73 = 4231080

Therefore, the lowest common multiple of 504,276,460,584 is 4231080.

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 276 x 460 x 584 = 37368898560

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

584 : 1, 2, 4, 8, 73, 146, 292, 584

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,276,460,584, is 4.

Now, the common factors can be found like this.

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

276:2x 2x 3x 23

460:2x 2x 5x 23

584:2x 2x 2x 73

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 3x 23 = 2208

Therefore, the value for common factors is 2208.

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 = 37368898560/(4x2208)

LCM = 37368898560/8832

LCM = 4231080

Thus, we can understand that the LCM of 504,276,460,584 is 4231080.

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

• LCM of 278, 847, 300, 262
• LCM of 371, 622, 304, 859
• LCM of 262, 848, 964, 736
• LCM of 422, 351, 309, 623
• LCM of 557, 861, 451, 993

1. What is the LCM of 504, 276, 460, 584?

Answer: LCM of 504, 276, 460, 584 is 4231080.

2. How to calculate the LCM of 504, 276, 460, 584?

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, 276, 460, 584.

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}.