Given numbers are 293,532,418,422

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

The LCM of 293,532,418,422 is 361788196.

Find LCM of 293,532,418,422 with Prime Factorization

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

2 x 19 x 293 x 14 x 11 x 211 = 361788196

Therefore, the lowest common multiple of 293,532,418,422 is 361788196.

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 532 x 418 x 422 = 27495902896

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

418 : 1, 2, 11, 19, 22, 38, 209, 418

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,532,418,422, is 1.

Now, the common factors can be found like this.

293:293

532:2x 2x 7x 19

418:2x 11x 19

422:2x 211

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

2x 2x 19 = 76

Therefore, the value for common factors is 76.

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 = 27495902896/(1x76)

LCM = 27495902896/76

LCM = 361788196

Thus, we can understand that the LCM of 293,532,418,422 is 361788196.

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

• LCM of 820, 702, 654, 261
• LCM of 951, 718, 857, 176
• LCM of 504, 830, 369, 716
• LCM of 839, 473, 920, 711
• LCM of 423, 620, 366, 909

1. What is the LCM of 293, 532, 418, 422?

Answer: LCM of 293, 532, 418, 422 is 361788196.

2. How to calculate the LCM of 293, 532, 418, 422?

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, 532, 418, 422.

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}.