Given numbers are 282,354,204,350,466

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

The LCM of 282,354,204,350,466 is 23066091300.

Find LCM of 282,354,204,350,466 with Prime Factorization

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

2 x 3 x 47 x 59 x 34 x 175 x 233 = 23066091300

Therefore, the lowest common multiple of 282,354,204,350,466 is 23066091300.

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.

282 x 354 x 204 x 350 x 466 = 3321517147200

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

354 : 1, 2, 3, 6, 59, 118, 177, 354

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

466 : 1, 2, 233, 466

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,354,204,350,466, is 2.

Now, the common factors can be found like this.

282:2x 3x 47

354:2x 3x 59

204:2x 2x 3x 17

350:2x 5x 5x 7

466:2x 233

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 3321517147200/(2x72)

LCM = 3321517147200/144

LCM = 23066091300

Thus, we can understand that the LCM of 282,354,204,350,466 is 23066091300.

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

• LCM of 874, 255, 815, 908, 324
• LCM of 254, 615, 109, 510, 487
• LCM of 290, 115, 888, 342, 192
• LCM of 663, 127, 646, 289, 554
• LCM of 280, 666, 867, 599, 208

1. What is the LCM of 282, 354, 204, 350, 466?

Answer: LCM of 282, 354, 204, 350, 466 is 23066091300.

2. How to calculate the LCM of 282, 354, 204, 350, 466?

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 282, 354, 204, 350, 466.

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}.