Given numbers are 207,115,743,238,728

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

The LCM of 207,115,743,238,728 is 9517205880.

Find LCM of 207,115,743,238,728 with Prime Factorization

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

2 x 7 x 23 x 9 x 5 x 743 x 17 x 52 = 9517205880

Therefore, the lowest common multiple of 207,115,743,238,728 is 9517205880.

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.

207 x 115 x 743 x 238 x 728 = 3064540293360

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.

207 : 1, 3, 9, 23, 69, 207

115 : 1, 5, 23, 115

743 : 1, 743

238 : 1, 2, 7, 14, 17, 34, 119, 238

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,115,743,238,728, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

115:5x 23

743:743

238:2x 7x 17

728:2x 2x 2x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 23 = 322

Therefore, the value for common factors is 322.

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 = 3064540293360/(1x322)

LCM = 3064540293360/322

LCM = 9517205880

Thus, we can understand that the LCM of 207,115,743,238,728 is 9517205880.

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

• LCM of 504, 347, 915, 430, 257
• LCM of 458, 644, 333, 353, 318
• LCM of 640, 751, 125, 103, 902
• LCM of 909, 419, 363, 538, 436
• LCM of 356, 357, 422, 581, 148

1. What is the LCM of 207, 115, 743, 238, 728?

Answer: LCM of 207, 115, 743, 238, 728 is 9517205880.

2. How to calculate the LCM of 207, 115, 743, 238, 728?

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 207, 115, 743, 238, 728.

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}.