Given numbers are 214,321,334,354

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

The LCM of 214,321,334,354 is 6325626.

Find LCM of 214,321,334,354 with Prime Factorization

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

2 x 3 x 107 x 1 x 1 x 167 x 59 = 6325626

Therefore, the lowest common multiple of 214,321,334,354 is 6325626.

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.

214 x 321 x 334 x 354 = 8122103784

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.

214 : 1, 2, 107, 214

321 : 1, 3, 107, 321

334 : 1, 2, 167, 334

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,321,334,354, is 1.

Now, the common factors can be found like this.

214:2x 107

321:3x 107

334:2x 167

354:2x 3x 59

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 3x 107 = 1284

Therefore, the value for common factors is 1284.

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 = 8122103784/(1x1284)

LCM = 8122103784/1284

LCM = 6325626

Thus, we can understand that the LCM of 214,321,334,354 is 6325626.

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

• LCM of 805, 363, 634, 220
• LCM of 950, 760, 561, 892
• LCM of 179, 389, 836, 726
• LCM of 233, 801, 331, 390
• LCM of 370, 551, 402, 161

1. What is the LCM of 214, 321, 334, 354?

Answer: LCM of 214, 321, 334, 354 is 6325626.

2. How to calculate the LCM of 214, 321, 334, 354?

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 214, 321, 334, 354.

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}.