Given numbers are 346,335,469,284

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

The LCM of 346,335,469,284 is 115214540.

Find LCM of 346,335,469,284 with Prime Factorization

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

2 x 67 x 173 x 5 x 7 x 142 = 115214540

Therefore, the lowest common multiple of 346,335,469,284 is 115214540.

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 335 x 469 x 284 = 15438748360

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

335 : 1, 5, 67, 335

469 : 1, 7, 67, 469

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,335,469,284, is 1.

Now, the common factors can be found like this.

346:2x 173

335:5x 67

469:7x 67

284:2x 2x 71

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 15438748360/(1x134)

LCM = 15438748360/134

LCM = 115214540

Thus, we can understand that the LCM of 346,335,469,284 is 115214540.

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

• LCM of 889, 755, 690, 801
• LCM of 970, 113, 926, 277
• LCM of 810, 230, 743, 679
• LCM of 478, 412, 819, 193
• LCM of 606, 545, 362, 592

1. What is the LCM of 346, 335, 469, 284?

Answer: LCM of 346, 335, 469, 284 is 115214540.

2. How to calculate the LCM of 346, 335, 469, 284?

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, 335, 469, 284.

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}.