Given numbers are 566,729,174,132,690

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

The LCM of 566,729,174,132,690 is 30273489180.

Find LCM of 566,729,174,132,690 with Prime Factorization

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

2 x 3 x 283 x 243 x 29 x 22 x 115 = 30273489180

Therefore, the lowest common multiple of 566,729,174,132,690 is 30273489180.

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.

566 x 729 x 174 x 132 x 690 = 6539073662880

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.

566 : 1, 2, 283, 566

729 : 1, 3, 9, 27, 81, 243, 729

174 : 1, 2, 3, 6, 29, 58, 87, 174

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,729,174,132,690, is 1.

Now, the common factors can be found like this.

566:2x 283

729:3x 3x 3x 3x 3x 3

174:2x 3x 29

132:2x 2x 3x 11

690:2x 3x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 6539073662880/(1x216)

LCM = 6539073662880/216

LCM = 30273489180

Thus, we can understand that the LCM of 566,729,174,132,690 is 30273489180.

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

• LCM of 536, 625, 466, 464, 541
• LCM of 684, 160, 339, 670, 306
• LCM of 979, 864, 131, 710, 522
• LCM of 447, 378, 804, 922, 314
• LCM of 973, 588, 194, 687, 639

1. What is the LCM of 566, 729, 174, 132, 690?

Answer: LCM of 566, 729, 174, 132, 690 is 30273489180.

2. How to calculate the LCM of 566, 729, 174, 132, 690?

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 566, 729, 174, 132, 690.

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}.