Given numbers are 728,234,436,149,183

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

The LCM of 728,234,436,149,183 is 6491072952.

Find LCM of 728,234,436,149,183 with Prime Factorization

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

2 x 2 x 3 x 13 x 14 x 3 x 109 x 149 x 61 = 6491072952

Therefore, the lowest common multiple of 728,234,436,149,183 is 6491072952.

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 234 x 436 x 149 x 183 = 2025214761024

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

436 : 1, 2, 4, 109, 218, 436

149 : 1, 149

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,234,436,149,183, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

234:2x 3x 3x 13

436:2x 2x 109

149:149

183:3x 61

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 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 2025214761024/(1x312)

LCM = 2025214761024/312

LCM = 6491072952

Thus, we can understand that the LCM of 728,234,436,149,183 is 6491072952.

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

• LCM of 169, 390, 401, 436, 718
• LCM of 432, 153, 302, 976, 958
• LCM of 397, 243, 581, 134, 441
• LCM of 447, 123, 622, 598, 822
• LCM of 142, 749, 506, 715, 594

1. What is the LCM of 728, 234, 436, 149, 183?

Answer: LCM of 728, 234, 436, 149, 183 is 6491072952.

2. How to calculate the LCM of 728, 234, 436, 149, 183?

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, 234, 436, 149, 183.

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}.