Given numbers are 214,523,508,488,283

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

The LCM of 214,523,508,488,283 is 981511618888.

Find LCM of 214,523,508,488,283 with Prime Factorization

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

2 x 2 x 107 x 523 x 127 x 122 x 283 = 981511618888

Therefore, the lowest common multiple of 214,523,508,488,283 is 981511618888.

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.

214 x 523 x 508 x 488 x 283 = 7852092951104

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.

214 : 1, 2, 107, 214

523 : 1, 523

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

488 : 1, 2, 4, 8, 61, 122, 244, 488

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,523,508,488,283, is 1.

Now, the common factors can be found like this.

214:2x 107

523:523

508:2x 2x 127

488:2x 2x 2x 61

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7852092951104/(1x8)

LCM = 7852092951104/8

LCM = 981511618888

Thus, we can understand that the LCM of 214,523,508,488,283 is 981511618888.

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

• LCM of 664, 976, 729, 563, 844
• LCM of 820, 724, 526, 663, 721
• LCM of 452, 640, 836, 542, 289
• LCM of 236, 191, 509, 768, 978
• LCM of 770, 725, 131, 981, 250

1. What is the LCM of 214, 523, 508, 488, 283?

Answer: LCM of 214, 523, 508, 488, 283 is 981511618888.

2. How to calculate the LCM of 214, 523, 508, 488, 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 214, 523, 508, 488, 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}.