Given numbers are 566,230,692,505,120

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

The LCM of 566,230,692,505,120 is 13647810840.

Find LCM of 566,230,692,505,120 with Prime Factorization

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

2 x 2 x 5 x 283 x 23 x 173 x 101 x 6 = 13647810840

Therefore, the lowest common multiple of 566,230,692,505,120 is 13647810840.

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 230 x 692 x 505 x 120 = 5459124336000

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

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

692 : 1, 2, 4, 173, 346, 692

505 : 1, 5, 101, 505

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,230,692,505,120, is 1.

Now, the common factors can be found like this.

566:2x 283

230:2x 5x 23

692:2x 2x 173

505:5x 101

120:2x 2x 2x 3x 5

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 5459124336000/(1x400)

LCM = 5459124336000/400

LCM = 13647810840

Thus, we can understand that the LCM of 566,230,692,505,120 is 13647810840.

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

• LCM of 777, 617, 582, 986, 743
• LCM of 923, 650, 147, 397, 731
• LCM of 598, 507, 834, 751, 550
• LCM of 260, 669, 145, 829, 408
• LCM of 926, 810, 245, 633, 420

1. What is the LCM of 566, 230, 692, 505, 120?

Answer: LCM of 566, 230, 692, 505, 120 is 13647810840.

2. How to calculate the LCM of 566, 230, 692, 505, 120?

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, 230, 692, 505, 120.

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}.