Given numbers are 346,214,103,252,339

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

The LCM of 346,214,103,252,339 is 54293281308.

Find LCM of 346,214,103,252,339 with Prime Factorization

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

2 x 3 x 173 x 107 x 103 x 42 x 113 = 54293281308

Therefore, the lowest common multiple of 346,214,103,252,339 is 54293281308.

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.

346 x 214 x 103 x 252 x 339 = 651519375696

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.

346 : 1, 2, 173, 346

214 : 1, 2, 107, 214

103 : 1, 103

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,214,103,252,339, is 1.

Now, the common factors can be found like this.

346:2x 173

214:2x 107

103:103

252:2x 2x 3x 3x 7

339:3x 113

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 3 = 12

Therefore, the value for common factors is 12.

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 = 651519375696/(1x12)

LCM = 651519375696/12

LCM = 54293281308

Thus, we can understand that the LCM of 346,214,103,252,339 is 54293281308.

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

• LCM of 733, 961, 823, 210, 654
• LCM of 207, 428, 139, 355, 178
• LCM of 354, 758, 397, 677, 421
• LCM of 498, 611, 387, 802, 482
• LCM of 896, 879, 682, 188, 957

1. What is the LCM of 346, 214, 103, 252, 339?

Answer: LCM of 346, 214, 103, 252, 339 is 54293281308.

2. How to calculate the LCM of 346, 214, 103, 252, 339?

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 346, 214, 103, 252, 339.

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}.