Given numbers are 293,338,367,414

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

The LCM of 293,338,367,414 is 7523513946.

Find LCM of 293,338,367,414 with Prime Factorization

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

2 x 293 x 169 x 367 x 207 = 7523513946

Therefore, the lowest common multiple of 293,338,367,414 is 7523513946.

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.

293 x 338 x 367 x 414 = 15047027892

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.

293 : 1, 293

338 : 1, 2, 13, 26, 169, 338

367 : 1, 367

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 293,338,367,414, is 1.

Now, the common factors can be found like this.

293:293

338:2x 13x 13

367:367

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.

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 = 15047027892/(1x2)

LCM = 15047027892/2

LCM = 7523513946

Thus, we can understand that the LCM of 293,338,367,414 is 7523513946.

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

• LCM of 482, 265, 814, 159
• LCM of 605, 559, 449, 522
• LCM of 831, 463, 974, 873
• LCM of 891, 629, 596, 762
• LCM of 572, 819, 662, 828

1. What is the LCM of 293, 338, 367, 414?

Answer: LCM of 293, 338, 367, 414 is 7523513946.

2. How to calculate the LCM of 293, 338, 367, 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 293, 338, 367, 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}.