Given numbers are 362,960,221,205

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

The LCM of 362,960,221,205 is 1574439360.

Find LCM of 362,960,221,205 with Prime Factorization

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

2 x 5 x 181 x 96 x 221 x 41 = 1574439360

Therefore, the lowest common multiple of 362,960,221,205 is 1574439360.

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.

362 x 960 x 221 x 205 = 15744393600

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.

362 : 1, 2, 181, 362

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

221 : 1, 13, 17, 221

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,960,221,205, is 1.

Now, the common factors can be found like this.

362:2x 181

960:2x 2x 2x 2x 2x 2x 3x 5

221:13x 17

205:5x 41

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 15744393600/(1x10)

LCM = 15744393600/10

LCM = 1574439360

Thus, we can understand that the LCM of 362,960,221,205 is 1574439360.

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

• LCM of 709, 385, 976, 172
• LCM of 123, 672, 589, 429
• LCM of 212, 240, 622, 960
• LCM of 525, 908, 907, 529
• LCM of 815, 572, 168, 592

1. What is the LCM of 362, 960, 221, 205?

Answer: LCM of 362, 960, 221, 205 is 1574439360.

2. How to calculate the LCM of 362, 960, 221, 205?

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 362, 960, 221, 205.

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}.