Given numbers are 326,281,214

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

The LCM of 326,281,214 is 9801842.

Find LCM of 326,281,214 with Prime Factorization

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

2 x 163 x 281 x 107 = 9801842

Therefore, the lowest common multiple of 326,281,214 is 9801842.

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.

326 x 281 x 214 = 19603684

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.

326 : 1, 2, 163, 326

281 : 1, 281

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,281,214, is 1.

Now, the common factors can be found like this.

326:2x 163

281:281

214:2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 19603684/(1x2)

LCM = 19603684/2

LCM = 9801842

Thus, we can understand that the LCM of 326,281,214 is 9801842.

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

• LCM of 158, 593, 632
• LCM of 561, 754, 154
• LCM of 563, 211, 368
• LCM of 700, 186, 947
• LCM of 223, 274, 272

1. What is the LCM of 326, 281, 214?

Answer: LCM of 326, 281, 214 is 9801842.

2. How to calculate the LCM of 326, 281, 214?

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 326, 281, 214.

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}.