Given numbers are 538,167,468,990

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

The LCM of 538,167,468,990 is 1156318020.

Find LCM of 538,167,468,990 with Prime Factorization

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

2 x 3 x 3 x 269 x 167 x 26 x 55 = 1156318020

Therefore, the lowest common multiple of 538,167,468,990 is 1156318020.

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.

538 x 167 x 468 x 990 = 41627448720

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.

538 : 1, 2, 269, 538

167 : 1, 167

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,167,468,990, is 1.

Now, the common factors can be found like this.

538:2x 269

167:167

468:2x 2x 3x 3x 13

990:2x 3x 3x 5x 11

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 41627448720/(1x36)

LCM = 41627448720/36

LCM = 1156318020

Thus, we can understand that the LCM of 538,167,468,990 is 1156318020.

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

• LCM of 214, 697, 519, 231
• LCM of 251, 712, 269, 234
• LCM of 975, 526, 543, 340
• LCM of 105, 457, 980, 197
• LCM of 443, 214, 271, 489

1. What is the LCM of 538, 167, 468, 990?

Answer: LCM of 538, 167, 468, 990 is 1156318020.

2. How to calculate the LCM of 538, 167, 468, 990?

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 538, 167, 468, 990.

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}.