Given numbers are 480,305,481,877,745

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

The LCM of 480,305,481,877,745 is 1840356716640.

Find LCM of 480,305,481,877,745 with Prime Factorization

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

5 x 96 x 61 x 481 x 877 x 149 = 1840356716640

Therefore, the lowest common multiple of 480,305,481,877,745 is 1840356716640.

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.

480 x 305 x 481 x 877 x 745 = 46008917916000

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

305 : 1, 5, 61, 305

481 : 1, 13, 37, 481

877 : 1, 877

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,305,481,877,745, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

305:5x 61

481:13x 37

877:877

745:5x 149

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 46008917916000/(1x25)

LCM = 46008917916000/25

LCM = 1840356716640

Thus, we can understand that the LCM of 480,305,481,877,745 is 1840356716640.

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

• LCM of 133, 437, 215, 871, 123
• LCM of 838, 123, 205, 240, 640
• LCM of 135, 607, 852, 763, 280
• LCM of 121, 785, 114, 388, 407
• LCM of 619, 812, 505, 910, 616

1. What is the LCM of 480, 305, 481, 877, 745?

Answer: LCM of 480, 305, 481, 877, 745 is 1840356716640.

2. How to calculate the LCM of 480, 305, 481, 877, 745?

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 480, 305, 481, 877, 745.

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}.