Given numbers are 617,912,305,24

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

The LCM of 617,912,305,24 is 171624720.

Find LCM of 617,912,305,24 with Prime Factorization

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

2 x 2 x 2 x 3 x 617 x 38 x 305 x 1 = 171624720

Therefore, the lowest common multiple of 617,912,305,24 is 171624720.

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.

617 x 912 x 305 x 24 = 4118993280

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.

617 : 1, 617

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

305 : 1, 5, 61, 305

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 617,912,305,24, is 1.

Now, the common factors can be found like this.

617:617

912:2x 2x 2x 2x 3x 19

305:5x 61

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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 4118993280/(1x24)

LCM = 4118993280/24

LCM = 171624720

Thus, we can understand that the LCM of 617,912,305,24 is 171624720.

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

• LCM of 231, 827, 472, 96
• LCM of 766, 333, 252, 73
• LCM of 953, 921, 707, 14
• LCM of 717, 310, 956, 28
• LCM of 522, 851, 843, 21

1. What is the LCM of 617, 912, 305, 24?

Answer: LCM of 617, 912, 305, 24 is 171624720.

2. How to calculate the LCM of 617, 912, 305, 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 617, 912, 305, 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}.