Given numbers are 361,979,171,460,538

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

The LCM of 361,979,171,460,538 is 393588603540.

Find LCM of 361,979,171,460,538 with Prime Factorization

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

2 x 19 x 19 x 979 x 9 x 230 x 269 = 393588603540

Therefore, the lowest common multiple of 361,979,171,460,538 is 393588603540.

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.

361 x 979 x 171 x 460 x 538 = 14956366934520

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.

361 : 1, 19, 361

979 : 1, 11, 89, 979

171 : 1, 3, 9, 19, 57, 171

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,979,171,460,538, is 1.

Now, the common factors can be found like this.

361:19x 19

979:11x 89

171:3x 3x 19

460:2x 2x 5x 23

538:2x 269

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 14956366934520/(1x38)

LCM = 14956366934520/38

LCM = 393588603540

Thus, we can understand that the LCM of 361,979,171,460,538 is 393588603540.

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

• LCM of 681, 567, 791, 233, 243
• LCM of 584, 423, 602, 626, 506
• LCM of 213, 178, 120, 515, 838
• LCM of 443, 225, 152, 965, 949
• LCM of 432, 333, 499, 759, 363

1. What is the LCM of 361, 979, 171, 460, 538?

Answer: LCM of 361, 979, 171, 460, 538 is 393588603540.

2. How to calculate the LCM of 361, 979, 171, 460, 538?

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 361, 979, 171, 460, 538.

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}.