Given numbers are 284,349,182,357

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

The LCM of 284,349,182,357 is 459997356.

Find LCM of 284,349,182,357 with Prime Factorization

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

2 x 7 x 142 x 349 x 13 x 51 = 459997356

Therefore, the lowest common multiple of 284,349,182,357 is 459997356.

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.

284 x 349 x 182 x 357 = 6439962984

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.

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

349 : 1, 349

182 : 1, 2, 7, 13, 14, 26, 91, 182

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,349,182,357, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

349:349

182:2x 7x 13

357:3x 7x 17

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 6439962984/(1x14)

LCM = 6439962984/14

LCM = 459997356

Thus, we can understand that the LCM of 284,349,182,357 is 459997356.

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

• LCM of 724, 433, 128, 412
• LCM of 920, 822, 339, 704
• LCM of 674, 475, 558, 693
• LCM of 327, 189, 152, 724
• LCM of 809, 480, 470, 296

1. What is the LCM of 284, 349, 182, 357?

Answer: LCM of 284, 349, 182, 357 is 459997356.

2. How to calculate the LCM of 284, 349, 182, 357?

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 284, 349, 182, 357.

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}.