Given numbers are 293,321,642

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

The LCM of 293,321,642 is 188106.

Find LCM of 293,321,642 with Prime Factorization

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

3 x 107 x 293 x 1 x 2 = 188106

Therefore, the lowest common multiple of 293,321,642 is 188106.

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.

293 x 321 x 642 = 60382026

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.

293 : 1, 293

321 : 1, 3, 107, 321

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,321,642, is 1.

Now, the common factors can be found like this.

293:293

321:3x 107

642:2x 3x 107

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

3x 107 = 321

Therefore, the value for common factors is 321.

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 = 60382026/(1x321)

LCM = 60382026/321

LCM = 188106

Thus, we can understand that the LCM of 293,321,642 is 188106.

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

• LCM of 372, 150, 422
• LCM of 241, 947, 257
• LCM of 855, 817, 358
• LCM of 624, 783, 769
• LCM of 959, 230, 357

1. What is the LCM of 293, 321, 642?

Answer: LCM of 293, 321, 642 is 188106.

2. How to calculate the LCM of 293, 321, 642?

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 293, 321, 642.

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}.