Given numbers are 504,407,660,219,984

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

The LCM of 504,407,660,219,984 is 3069740520.

Find LCM of 504,407,660,219,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 21 x 37 x 5 x 73 x 41 = 3069740520

Therefore, the lowest common multiple of 504,407,660,219,984 is 3069740520.

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 407 x 660 x 219 x 984 = 29174813902080

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

407 : 1, 11, 37, 407

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

219 : 1, 3, 73, 219

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,407,660,219,984, is 1.

Now, the common factors can be found like this.

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

407:11x 37

660:2x 2x 3x 5x 11

219:3x 73

984:2x 2x 2x 3x 41

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 3x 3x 11 = 9504

Therefore, the value for common factors is 9504.

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 = 29174813902080/(1x9504)

LCM = 29174813902080/9504

LCM = 3069740520

Thus, we can understand that the LCM of 504,407,660,219,984 is 3069740520.

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

• LCM of 945, 689, 560, 524, 849
• LCM of 841, 731, 907, 672, 802
• LCM of 348, 320, 700, 593, 299
• LCM of 228, 359, 424, 862, 147
• LCM of 562, 191, 759, 546, 410

1. What is the LCM of 504, 407, 660, 219, 984?

Answer: LCM of 504, 407, 660, 219, 984 is 3069740520.

2. How to calculate the LCM of 504, 407, 660, 219, 984?

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, 407, 660, 219, 984.

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}.