Given numbers are 745,283,462,24

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

The LCM of 745,283,462,24 is 389623080.

Find LCM of 745,283,462,24 with Prime Factorization

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

2 x 3 x 745 x 283 x 77 x 4 = 389623080

Therefore, the lowest common multiple of 745,283,462,24 is 389623080.

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.

745 x 283 x 462 x 24 = 2337738480

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.

745 : 1, 5, 149, 745

283 : 1, 283

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

24 : 1, 2, 3, 4, 6, 8, 12, 24

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,283,462,24, is 1.

Now, the common factors can be found like this.

745:5x 149

283:283

462:2x 3x 7x 11

24:2x 2x 2x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 2337738480/(1x6)

LCM = 2337738480/6

LCM = 389623080

Thus, we can understand that the LCM of 745,283,462,24 is 389623080.

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

• LCM of 701, 652, 658, 83
• LCM of 230, 398, 751, 10
• LCM of 554, 829, 823, 81
• LCM of 478, 816, 611, 31
• LCM of 793, 204, 843, 50

1. What is the LCM of 745, 283, 462, 24?

Answer: LCM of 745, 283, 462, 24 is 389623080.

2. How to calculate the LCM of 745, 283, 462, 24?

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 745, 283, 462, 24.

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}.