Given numbers are 492,369,283,516,213

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

The LCM of 492,369,283,516,213 is 1275262524.

Find LCM of 492,369,283,516,213 with Prime Factorization

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

2 x 2 x 3 x 41 x 1 x 3 x 283 x 43 x 71 = 1275262524

Therefore, the lowest common multiple of 492,369,283,516,213 is 1275262524.

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.

492 x 369 x 283 x 516 x 213 = 5646862456272

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

369 : 1, 3, 9, 41, 123, 369

283 : 1, 283

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,369,283,516,213, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

369:3x 3x 41

283:283

516:2x 2x 3x 43

213:3x 71

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 3x 3x 3x 41 = 4428

Therefore, the value for common factors is 4428.

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 = 5646862456272/(1x4428)

LCM = 5646862456272/4428

LCM = 1275262524

Thus, we can understand that the LCM of 492,369,283,516,213 is 1275262524.

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

• LCM of 826, 256, 954, 872, 669
• LCM of 505, 580, 548, 477, 343
• LCM of 422, 164, 710, 192, 688
• LCM of 592, 134, 938, 929, 245
• LCM of 868, 776, 559, 296, 945

1. What is the LCM of 492, 369, 283, 516, 213?

Answer: LCM of 492, 369, 283, 516, 213 is 1275262524.

2. How to calculate the LCM of 492, 369, 283, 516, 213?

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 492, 369, 283, 516, 213.

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}.