Given numbers are 273,426,213,306

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

The LCM of 273,426,213,306 is 1977066.

Find LCM of 273,426,213,306 with Prime Factorization

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

2 x 3 x 71 x 91 x 1 x 1 x 51 = 1977066

Therefore, the lowest common multiple of 273,426,213,306 is 1977066.

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.

273 x 426 x 213 x 306 = 7580071044

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.

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

426 : 1, 2, 3, 6, 71, 142, 213, 426

213 : 1, 3, 71, 213

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,426,213,306, is 3.

Now, the common factors can be found like this.

273:3x 7x 13

426:2x 3x 71

213:3x 71

306:2x 3x 3x 17

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

2x 3x 3x 71 = 1278

Therefore, the value for common factors is 1278.

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 = 7580071044/(3x1278)

LCM = 7580071044/3834

LCM = 1977066

Thus, we can understand that the LCM of 273,426,213,306 is 1977066.

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

• LCM of 386, 120, 433, 290
• LCM of 999, 625, 278, 416
• LCM of 663, 452, 802, 653
• LCM of 785, 345, 326, 234
• LCM of 628, 696, 649, 433

1. What is the LCM of 273, 426, 213, 306?

Answer: LCM of 273, 426, 213, 306 is 1977066.

2. How to calculate the LCM of 273, 426, 213, 306?

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 273, 426, 213, 306.

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}.