Given numbers are 501,412,522,349

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

The LCM of 501,412,522,349 is 6267287556.

Find LCM of 501,412,522,349 with Prime Factorization

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

2 x 3 x 167 x 206 x 87 x 349 = 6267287556

Therefore, the lowest common multiple of 501,412,522,349 is 6267287556.

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.

501 x 412 x 522 x 349 = 37603725336

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.

501 : 1, 3, 167, 501

412 : 1, 2, 4, 103, 206, 412

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,412,522,349, is 1.

Now, the common factors can be found like this.

501:3x 167

412:2x 2x 103

522:2x 3x 3x 29

349:349

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 37603725336/(1x6)

LCM = 37603725336/6

LCM = 6267287556

Thus, we can understand that the LCM of 501,412,522,349 is 6267287556.

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

• LCM of 533, 778, 989, 870
• LCM of 187, 162, 293, 894
• LCM of 197, 264, 160, 557
• LCM of 432, 836, 974, 393
• LCM of 628, 782, 685, 825

1. What is the LCM of 501, 412, 522, 349?

Answer: LCM of 501, 412, 522, 349 is 6267287556.

2. How to calculate the LCM of 501, 412, 522, 349?

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 501, 412, 522, 349.

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}.