Given numbers are 586,504,103,400

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

The LCM of 586,504,103,400 is 760510800.

Find LCM of 586,504,103,400 with Prime Factorization

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

2 x 2 x 2 x 293 x 63 x 103 x 50 = 760510800

Therefore, the lowest common multiple of 586,504,103,400 is 760510800.

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.

586 x 504 x 103 x 400 = 12168172800

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.

586 : 1, 2, 293, 586

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

103 : 1, 103

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,504,103,400, is 1.

Now, the common factors can be found like this.

586:2x 293

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

103:103

400:2x 2x 2x 2x 5x 5

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 2 = 16

Therefore, the value for common factors is 16.

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 = 12168172800/(1x16)

LCM = 12168172800/16

LCM = 760510800

Thus, we can understand that the LCM of 586,504,103,400 is 760510800.

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

• LCM of 376, 690, 488, 488
• LCM of 758, 968, 271, 896
• LCM of 687, 687, 443, 215
• LCM of 692, 682, 229, 236
• LCM of 644, 896, 360, 196

1. What is the LCM of 586, 504, 103, 400?

Answer: LCM of 586, 504, 103, 400 is 760510800.

2. How to calculate the LCM of 586, 504, 103, 400?

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 586, 504, 103, 400.

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}.