Given numbers are 282,167,193,311,428

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

The LCM of 282,167,193,311,428 is 604918756668.

Find LCM of 282,167,193,311,428 with Prime Factorization

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

2 x 141 x 167 x 193 x 311 x 214 = 604918756668

Therefore, the lowest common multiple of 282,167,193,311,428 is 604918756668.

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 167 x 193 x 311 x 428 = 1209837513336

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

167 : 1, 167

193 : 1, 193

311 : 1, 311

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,167,193,311,428, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

167:167

193:193

311:311

428:2x 2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 1209837513336/(1x2)

LCM = 1209837513336/2

LCM = 604918756668

Thus, we can understand that the LCM of 282,167,193,311,428 is 604918756668.

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

• LCM of 545, 516, 376, 382, 457
• LCM of 519, 342, 353, 200, 622
• LCM of 603, 351, 785, 517, 773
• LCM of 371, 151, 674, 680, 461
• LCM of 540, 974, 314, 620, 412

1. What is the LCM of 282, 167, 193, 311, 428?

Answer: LCM of 282, 167, 193, 311, 428 is 604918756668.

2. How to calculate the LCM of 282, 167, 193, 311, 428?

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, 167, 193, 311, 428.

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}.