Given numbers are 481,284,364,227,752

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

The LCM of 481,284,364,227,752 is 40807986128.

Find LCM of 481,284,364,227,752 with Prime Factorization

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

2 x 2 x 13 x 37 x 71 x 7 x 227 x 188 = 40807986128

Therefore, the lowest common multiple of 481,284,364,227,752 is 40807986128.

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.

481 x 284 x 364 x 227 x 752 = 8488061114624

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.

481 : 1, 13, 37, 481

284 : 1, 2, 4, 71, 142, 284

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

227 : 1, 227

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,284,364,227,752, is 1.

Now, the common factors can be found like this.

481:13x 37

284:2x 2x 71

364:2x 2x 7x 13

227:227

752:2x 2x 2x 2x 47

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 13 = 208

Therefore, the value for common factors is 208.

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 = 8488061114624/(1x208)

LCM = 8488061114624/208

LCM = 40807986128

Thus, we can understand that the LCM of 481,284,364,227,752 is 40807986128.

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

• LCM of 978, 398, 735, 309, 325
• LCM of 172, 181, 377, 814, 834
• LCM of 770, 363, 852, 685, 143
• LCM of 232, 377, 320, 848, 667
• LCM of 398, 774, 919, 555, 677

1. What is the LCM of 481, 284, 364, 227, 752?

Answer: LCM of 481, 284, 364, 227, 752 is 40807986128.

2. How to calculate the LCM of 481, 284, 364, 227, 752?

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 481, 284, 364, 227, 752.

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}.