Given numbers are 543,351,219

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

The LCM of 543,351,219 is 4637763.

Find LCM of 543,351,219 with Prime Factorization

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

3 x 181 x 117 x 73 = 4637763

Therefore, the lowest common multiple of 543,351,219 is 4637763.

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 351 x 219 = 41739867

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

219 : 1, 3, 73, 219

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,351,219, is 3.

Now, the common factors can be found like this.

543:3x 181

351:3x 3x 3x 13

219:3x 73

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

3 = 3

Therefore, the value for common factors is 3.

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 = 41739867/(3x3)

LCM = 41739867/9

LCM = 4637763

Thus, we can understand that the LCM of 543,351,219 is 4637763.

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

• LCM of 178, 712, 421
• LCM of 557, 496, 188
• LCM of 762, 660, 854
• LCM of 899, 491, 599
• LCM of 647, 391, 381

1. What is the LCM of 543, 351, 219?

Answer: LCM of 543, 351, 219 is 4637763.

2. How to calculate the LCM of 543, 351, 219?

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, 351, 219.

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}.