Given numbers are 115,546,238,327,728

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

The LCM of 115,546,238,327,728 is 465399480.

Find LCM of 115,546,238,327,728 with Prime Factorization

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

2 x 3 x 7 x 13 x 115 x 1 x 17 x 109 x 4 = 465399480

Therefore, the lowest common multiple of 115,546,238,327,728 is 465399480.

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.

115 x 546 x 238 x 327 x 728 = 3557513625120

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.

115 : 1, 5, 23, 115

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

327 : 1, 3, 109, 327

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 115,546,238,327,728, is 1.

Now, the common factors can be found like this.

115:5x 23

546:2x 3x 7x 13

238:2x 7x 17

327:3x 109

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 2x 3x 7x 7x 13 = 7644

Therefore, the value for common factors is 7644.

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 = 3557513625120/(1x7644)

LCM = 3557513625120/7644

LCM = 465399480

Thus, we can understand that the LCM of 115,546,238,327,728 is 465399480.

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

• LCM of 179, 729, 890, 911, 665
• LCM of 900, 413, 975, 835, 142
• LCM of 549, 540, 314, 588, 820
• LCM of 822, 347, 253, 383, 682
• LCM of 274, 807, 294, 244, 708

1. What is the LCM of 115, 546, 238, 327, 728?

Answer: LCM of 115, 546, 238, 327, 728 is 465399480.

2. How to calculate the LCM of 115, 546, 238, 327, 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 115, 546, 238, 327, 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}.