Given numbers are 321,466,214,169

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

The LCM of 321,466,214,169 is 25280034.

Find LCM of 321,466,214,169 with Prime Factorization

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

2 x 107 x 3 x 233 x 1 x 169 = 25280034

Therefore, the lowest common multiple of 321,466,214,169 is 25280034.

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 466 x 214 x 169 = 5409927276

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

466 : 1, 2, 233, 466

214 : 1, 2, 107, 214

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,466,214,169, is 1.

Now, the common factors can be found like this.

321:3x 107

466:2x 233

214:2x 107

169:13x 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 107 = 214

Therefore, the value for common factors is 214.

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 = 5409927276/(1x214)

LCM = 5409927276/214

LCM = 25280034

Thus, we can understand that the LCM of 321,466,214,169 is 25280034.

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

• LCM of 869, 557, 675, 606
• LCM of 954, 290, 274, 800
• LCM of 160, 994, 598, 358
• LCM of 567, 321, 994, 294
• LCM of 109, 787, 424, 728

1. What is the LCM of 321, 466, 214, 169?

Answer: LCM of 321, 466, 214, 169 is 25280034.

2. How to calculate the LCM of 321, 466, 214, 169?

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, 466, 214, 169.

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}.