Given numbers are 460,566,406,505

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

The LCM of 460,566,406,505 is 2669080540.

Find LCM of 460,566,406,505 with Prime Factorization

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

2 x 5 x 46 x 283 x 203 x 101 = 2669080540

Therefore, the lowest common multiple of 460,566,406,505 is 2669080540.

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.

460 x 566 x 406 x 505 = 53381610800

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

566 : 1, 2, 283, 566

406 : 1, 2, 7, 14, 29, 58, 203, 406

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,566,406,505, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

566:2x 283

406:2x 7x 29

505:5x 101

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 5 = 20

Therefore, the value for common factors is 20.

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 = 53381610800/(1x20)

LCM = 53381610800/20

LCM = 2669080540

Thus, we can understand that the LCM of 460,566,406,505 is 2669080540.

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

• LCM of 957, 906, 312, 969
• LCM of 657, 746, 928, 865
• LCM of 884, 142, 986, 150
• LCM of 555, 453, 753, 870
• LCM of 909, 529, 516, 102

1. What is the LCM of 460, 566, 406, 505?

Answer: LCM of 460, 566, 406, 505 is 2669080540.

2. How to calculate the LCM of 460, 566, 406, 505?

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 460, 566, 406, 505.

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}.