Given numbers are 321,409,117,508,197

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

The LCM of 321,409,117,508,197 is 512416240596.

Find LCM of 321,409,117,508,197 with Prime Factorization

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

3 x 107 x 409 x 39 x 508 x 197 = 512416240596

Therefore, the lowest common multiple of 321,409,117,508,197 is 512416240596.

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 409 x 117 x 508 x 197 = 1537248721788

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

409 : 1, 409

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

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

197 : 1, 197

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,409,117,508,197, is 1.

Now, the common factors can be found like this.

321:3x 107

409:409

117:3x 3x 13

508:2x 2x 127

197:197

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

3 = 3

Therefore, the value for common factors is 3.

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 = 1537248721788/(1x3)

LCM = 1537248721788/3

LCM = 512416240596

Thus, we can understand that the LCM of 321,409,117,508,197 is 512416240596.

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

• LCM of 971, 619, 169, 932, 521
• LCM of 745, 304, 628, 389, 511
• LCM of 834, 506, 179, 456, 180
• LCM of 522, 968, 304, 260, 458
• LCM of 228, 457, 172, 296, 928

1. What is the LCM of 321, 409, 117, 508, 197?

Answer: LCM of 321, 409, 117, 508, 197 is 512416240596.

2. How to calculate the LCM of 321, 409, 117, 508, 197?

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, 409, 117, 508, 197.

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}.