Given numbers are 240,388,198,192,538

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

The LCM of 240,388,198,192,538 is 826626240.

Find LCM of 240,388,198,192,538 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 97 x 33 x 4 x 269 = 826626240

Therefore, the lowest common multiple of 240,388,198,192,538 is 826626240.

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.

240 x 388 x 198 x 192 x 538 = 1904546856960

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

388 : 1, 2, 4, 97, 194, 388

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

538 : 1, 2, 269, 538

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,388,198,192,538, is 2.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

388:2x 2x 97

198:2x 3x 3x 11

192:2x 2x 2x 2x 2x 2x 3

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 2x 2x 2x 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 1904546856960/(2x1152)

LCM = 1904546856960/2304

LCM = 826626240

Thus, we can understand that the LCM of 240,388,198,192,538 is 826626240.

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

• LCM of 717, 295, 238, 187, 352
• LCM of 647, 711, 629, 274, 427
• LCM of 171, 134, 522, 807, 634
• LCM of 202, 783, 996, 981, 984
• LCM of 365, 474, 123, 464, 907

1. What is the LCM of 240, 388, 198, 192, 538?

Answer: LCM of 240, 388, 198, 192, 538 is 826626240.

2. How to calculate the LCM of 240, 388, 198, 192, 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 240, 388, 198, 192, 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}.