Given numbers are 338,125,221,986,960

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

The LCM of 338,125,221,986,960 is 1999608000.

Find LCM of 338,125,221,986,960 with Prime Factorization

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

2 x 5 x 13 x 17 x 13 x 25 x 1 x 29 x 96 = 1999608000

Therefore, the lowest common multiple of 338,125,221,986,960 is 1999608000.

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.

338 x 125 x 221 x 986 x 960 = 8838267360000

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.

338 : 1, 2, 13, 26, 169, 338

125 : 1, 5, 25, 125

221 : 1, 13, 17, 221

986 : 1, 2, 17, 29, 34, 58, 493, 986

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,125,221,986,960, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

125:5x 5x 5

221:13x 17

986:2x 17x 29

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

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 5x 13x 17 = 4420

Therefore, the value for common factors is 4420.

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 = 8838267360000/(1x4420)

LCM = 8838267360000/4420

LCM = 1999608000

Thus, we can understand that the LCM of 338,125,221,986,960 is 1999608000.

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

• LCM of 859, 191, 831, 214, 588
• LCM of 832, 303, 470, 548, 945
• LCM of 398, 925, 526, 214, 193
• LCM of 999, 929, 306, 260, 834
• LCM of 958, 293, 799, 404, 961

1. What is the LCM of 338, 125, 221, 986, 960?

Answer: LCM of 338, 125, 221, 986, 960 is 1999608000.

2. How to calculate the LCM of 338, 125, 221, 986, 960?

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 338, 125, 221, 986, 960.

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}.