Given numbers are 543,507,345,489

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

The LCM of 543,507,345,489 is 1720172415.

Find LCM of 543,507,345,489 with Prime Factorization

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

3 x 181 x 169 x 115 x 163 = 1720172415

Therefore, the lowest common multiple of 543,507,345,489 is 1720172415.

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.

543 x 507 x 345 x 489 = 46444655205

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.

543 : 1, 3, 181, 543

507 : 1, 3, 13, 39, 169, 507

345 : 1, 3, 5, 15, 23, 69, 115, 345

489 : 1, 3, 163, 489

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,507,345,489, is 3.

Now, the common factors can be found like this.

543:3x 181

507:3x 13x 13

345:3x 5x 23

489:3x 163

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 46444655205/(3x9)

LCM = 46444655205/27

LCM = 1720172415

Thus, we can understand that the LCM of 543,507,345,489 is 1720172415.

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

• LCM of 325, 276, 519, 344
• LCM of 491, 291, 647, 789
• LCM of 560, 725, 421, 437
• LCM of 219, 121, 547, 446
• LCM of 433, 420, 947, 634

1. What is the LCM of 543, 507, 345, 489?

Answer: LCM of 543, 507, 345, 489 is 1720172415.

2. How to calculate the LCM of 543, 507, 345, 489?

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 543, 507, 345, 489.

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}.