Given numbers are 355,409,284,743

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

The LCM of 355,409,284,743 is 431519540.

Find LCM of 355,409,284,743 with Prime Factorization

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

71 x 5 x 409 x 4 x 743 = 431519540

Therefore, the lowest common multiple of 355,409,284,743 is 431519540.

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.

355 x 409 x 284 x 743 = 30637887340

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.

355 : 1, 5, 71, 355

409 : 1, 409

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

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,409,284,743, is 1.

Now, the common factors can be found like this.

355:5x 71

409:409

284:2x 2x 71

743:743

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

71 = 71

Therefore, the value for common factors is 71.

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 = 30637887340/(1x71)

LCM = 30637887340/71

LCM = 431519540

Thus, we can understand that the LCM of 355,409,284,743 is 431519540.

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

• LCM of 853, 772, 207, 408
• LCM of 924, 688, 742, 546
• LCM of 785, 181, 307, 124
• LCM of 190, 376, 281, 324
• LCM of 986, 849, 251, 753

1. What is the LCM of 355, 409, 284, 743?

Answer: LCM of 355, 409, 284, 743 is 431519540.

2. How to calculate the LCM of 355, 409, 284, 743?

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 355, 409, 284, 743.

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}.