Given numbers are 346,322,289,414

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

The LCM of 346,322,289,414 is 144891306.

Find LCM of 346,322,289,414 with Prime Factorization

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

2 x 23 x 173 x 7 x 289 x 9 = 144891306

Therefore, the lowest common multiple of 346,322,289,414 is 144891306.

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 322 x 289 x 414 = 13330000152

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

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

289 : 1, 17, 289

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,322,289,414, is 1.

Now, the common factors can be found like this.

346:2x 173

322:2x 7x 23

289:17x 17

414:2x 3x 3x 23

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 23 = 92

Therefore, the value for common factors is 92.

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 = 13330000152/(1x92)

LCM = 13330000152/92

LCM = 144891306

Thus, we can understand that the LCM of 346,322,289,414 is 144891306.

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

• LCM of 179, 156, 731, 161
• LCM of 797, 389, 587, 108
• LCM of 745, 497, 316, 569
• LCM of 361, 123, 677, 518
• LCM of 946, 107, 690, 398

1. What is the LCM of 346, 322, 289, 414?

Answer: LCM of 346, 322, 289, 414 is 144891306.

2. How to calculate the LCM of 346, 322, 289, 414?

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, 322, 289, 414.

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}.