Given numbers are 409,508,388,484,283

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

The LCM of 409,508,388,484,283 is 690129449812.

Find LCM of 409,508,388,484,283 with Prime Factorization

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

2 x 2 x 409 x 127 x 97 x 121 x 283 = 690129449812

Therefore, the lowest common multiple of 409,508,388,484,283 is 690129449812.

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.

409 x 508 x 388 x 484 x 283 = 11042071196992

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.

409 : 1, 409

508 : 1, 2, 4, 127, 254, 508

388 : 1, 2, 4, 97, 194, 388

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,508,388,484,283, is 1.

Now, the common factors can be found like this.

409:409

508:2x 2x 127

388:2x 2x 97

484:2x 2x 11x 11

283:283

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 2 = 16

Therefore, the value for common factors is 16.

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 = 11042071196992/(1x16)

LCM = 11042071196992/16

LCM = 690129449812

Thus, we can understand that the LCM of 409,508,388,484,283 is 690129449812.

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

• LCM of 553, 134, 259, 476, 692
• LCM of 219, 942, 310, 559, 828
• LCM of 682, 100, 207, 810, 351
• LCM of 736, 743, 216, 916, 651
• LCM of 756, 909, 439, 984, 141

1. What is the LCM of 409, 508, 388, 484, 283?

Answer: LCM of 409, 508, 388, 484, 283 is 690129449812.

2. How to calculate the LCM of 409, 508, 388, 484, 283?

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 409, 508, 388, 484, 283.

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}.