Given numbers are 213,273,429,338

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

The LCM of 213,273,429,338 is 5543538.

Find LCM of 213,273,429,338 with Prime Factorization

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

3 x 13 x 71 x 7 x 11 x 26 = 5543538

Therefore, the lowest common multiple of 213,273,429,338 is 5543538.

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.

213 x 273 x 429 x 338 = 8431721298

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.

213 : 1, 3, 71, 213

273 : 1, 3, 7, 13, 21, 39, 91, 273

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,273,429,338, is 1.

Now, the common factors can be found like this.

213:3x 71

273:3x 7x 13

429:3x 11x 13

338:2x 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.

3x 3x 13x 13 = 1521

Therefore, the value for common factors is 1521.

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 = 8431721298/(1x1521)

LCM = 8431721298/1521

LCM = 5543538

Thus, we can understand that the LCM of 213,273,429,338 is 5543538.

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

• LCM of 166, 762, 218, 152
• LCM of 510, 182, 917, 601
• LCM of 393, 232, 312, 924
• LCM of 148, 284, 921, 533
• LCM of 442, 522, 123, 232

1. What is the LCM of 213, 273, 429, 338?

Answer: LCM of 213, 273, 429, 338 is 5543538.

2. How to calculate the LCM of 213, 273, 429, 338?

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 213, 273, 429, 338.

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}.