Given numbers are 322,546,214,104

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

The LCM of 322,546,214,104 is 5374824.

Find LCM of 322,546,214,104 with Prime Factorization

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

2 x 7 x 13 x 23 x 3 x 107 x 4 = 5374824

Therefore, the lowest common multiple of 322,546,214,104 is 5374824.

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.

322 x 546 x 214 x 104 = 3912871872

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

214 : 1, 2, 107, 214

104 : 1, 2, 4, 8, 13, 26, 52, 104

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,546,214,104, is 2.

Now, the common factors can be found like this.

322:2x 7x 23

546:2x 3x 7x 13

214:2x 107

104:2x 2x 2x 13

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 7x 13 = 364

Therefore, the value for common factors is 364.

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 = 3912871872/(2x364)

LCM = 3912871872/728

LCM = 5374824

Thus, we can understand that the LCM of 322,546,214,104 is 5374824.

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

• LCM of 825, 236, 710, 800
• LCM of 793, 892, 249, 449
• LCM of 323, 193, 516, 150
• LCM of 782, 524, 549, 620
• LCM of 216, 106, 842, 852

1. What is the LCM of 322, 546, 214, 104?

Answer: LCM of 322, 546, 214, 104 is 5374824.

2. How to calculate the LCM of 322, 546, 214, 104?

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 322, 546, 214, 104.

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}.