Given numbers are 642,414,219

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

The LCM of 642,414,219 is 3233754.

Find LCM of 642,414,219 with Prime Factorization

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

2 x 3 x 107 x 69 x 73 = 3233754

Therefore, the lowest common multiple of 642,414,219 is 3233754.

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.

642 x 414 x 219 = 58207572

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

219 : 1, 3, 73, 219

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,414,219, is 3.

Now, the common factors can be found like this.

642:2x 3x 107

414:2x 3x 3x 23

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.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 58207572/(3x6)

LCM = 58207572/18

LCM = 3233754

Thus, we can understand that the LCM of 642,414,219 is 3233754.

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

• LCM of 261, 544, 167
• LCM of 603, 153, 563
• LCM of 587, 194, 118
• LCM of 974, 372, 370
• LCM of 601, 421, 341

1. What is the LCM of 642, 414, 219?

Answer: LCM of 642, 414, 219 is 3233754.

2. How to calculate the LCM of 642, 414, 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 642, 414, 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}.