Given numbers are 728,236,448,504

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

The LCM of 728,236,448,504 is 3092544.

Find LCM of 728,236,448,504 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 59 x 8 x 9 = 3092544

Therefore, the lowest common multiple of 728,236,448,504 is 3092544.

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.

728 x 236 x 448 x 504 = 38792871936

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

236 : 1, 2, 4, 59, 118, 236

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,236,448,504, is 4.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

236:2x 2x 59

448:2x 2x 2x 2x 2x 2x 7

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

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 2x 7x 7 = 3136

Therefore, the value for common factors is 3136.

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 = 38792871936/(4x3136)

LCM = 38792871936/12544

LCM = 3092544

Thus, we can understand that the LCM of 728,236,448,504 is 3092544.

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

• LCM of 970, 131, 282, 928
• LCM of 534, 283, 982, 794
• LCM of 426, 309, 436, 581
• LCM of 374, 697, 997, 820
• LCM of 769, 400, 765, 705

1. What is the LCM of 728, 236, 448, 504?

Answer: LCM of 728, 236, 448, 504 is 3092544.

2. How to calculate the LCM of 728, 236, 448, 504?

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 728, 236, 448, 504.

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}.