Given numbers are 364,728,136,441,230

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

The LCM of 364,728,136,441,230 is 89664120.

Find LCM of 364,728,136,441,230 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 1 x 1 x 17 x 63 x 115 = 89664120

Therefore, the lowest common multiple of 364,728,136,441,230 is 89664120.

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.

364 x 728 x 136 x 441 x 230 = 3655426844160

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,728,136,441,230, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

728:2x 2x 2x 7x 13

136:2x 2x 2x 17

441:3x 3x 7x 7

230:2x 5x 23

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 7x 13 = 40768

Therefore, the value for common factors is 40768.

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 = 3655426844160/(1x40768)

LCM = 3655426844160/40768

LCM = 89664120

Thus, we can understand that the LCM of 364,728,136,441,230 is 89664120.

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

• LCM of 401, 276, 259, 165, 721
• LCM of 262, 231, 254, 216, 265
• LCM of 656, 227, 381, 746, 161
• LCM of 144, 221, 329, 726, 162
• LCM of 335, 661, 551, 396, 292

1. What is the LCM of 364, 728, 136, 441, 230?

Answer: LCM of 364, 728, 136, 441, 230 is 89664120.

2. How to calculate the LCM of 364, 728, 136, 441, 230?

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 364, 728, 136, 441, 230.

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}.