Given numbers are 339,493,323,429

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

The LCM of 339,493,323,429 is 454084059.

Find LCM of 339,493,323,429 with Prime Factorization

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

3 x 17 x 113 x 29 x 19 x 143 = 454084059

Therefore, the lowest common multiple of 339,493,323,429 is 454084059.

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.

339 x 493 x 323 x 429 = 23158287009

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.

339 : 1, 3, 113, 339

493 : 1, 17, 29, 493

323 : 1, 17, 19, 323

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,493,323,429, is 1.

Now, the common factors can be found like this.

339:3x 113

493:17x 29

323:17x 19

429:3x 11x 13

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 23158287009/(1x51)

LCM = 23158287009/51

LCM = 454084059

Thus, we can understand that the LCM of 339,493,323,429 is 454084059.

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

• LCM of 401, 428, 933, 773
• LCM of 117, 826, 780, 867
• LCM of 491, 591, 577, 181
• LCM of 334, 996, 421, 818
• LCM of 944, 318, 171, 202

1. What is the LCM of 339, 493, 323, 429?

Answer: LCM of 339, 493, 323, 429 is 454084059.

2. How to calculate the LCM of 339, 493, 323, 429?

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 339, 493, 323, 429.

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}.