Given numbers are 321,117,350,363,533

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

The LCM of 321,117,350,363,533 is 21737365650.

Find LCM of 321,117,350,363,533 with Prime Factorization

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

3 x 13 x 107 x 3 x 350 x 121 x 41 = 21737365650

Therefore, the lowest common multiple of 321,117,350,363,533 is 21737365650.

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.

321 x 117 x 350 x 363 x 533 = 2543271781050

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.

321 : 1, 3, 107, 321

117 : 1, 3, 9, 13, 39, 117

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

363 : 1, 3, 11, 33, 121, 363

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,117,350,363,533, is 1.

Now, the common factors can be found like this.

321:3x 107

117:3x 3x 13

350:2x 5x 5x 7

363:3x 11x 11

533:13x 41

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

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 2543271781050/(1x117)

LCM = 2543271781050/117

LCM = 21737365650

Thus, we can understand that the LCM of 321,117,350,363,533 is 21737365650.

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

• LCM of 429, 335, 436, 600, 238
• LCM of 502, 200, 288, 789, 314
• LCM of 503, 579, 173, 595, 241
• LCM of 449, 202, 394, 137, 577
• LCM of 708, 470, 313, 598, 300

1. What is the LCM of 321, 117, 350, 363, 533?

Answer: LCM of 321, 117, 350, 363, 533 is 21737365650.

2. How to calculate the LCM of 321, 117, 350, 363, 533?

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 321, 117, 350, 363, 533.

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}.