Given numbers are 192,726,888,740,542

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

The LCM of 192,726,888,740,542 is 1164736320.

Find LCM of 192,726,888,740,542 with Prime Factorization

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

2 x 2 x 2 x 3 x 37 x 8 x 121 x 1 x 5 x 271 = 1164736320

Therefore, the lowest common multiple of 192,726,888,740,542 is 1164736320.

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.

192 x 726 x 888 x 740 x 542 = 49645720903680

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.

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

542 : 1, 2, 271, 542

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,726,888,740,542, is 2.

Now, the common factors can be found like this.

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

726:2x 3x 11x 11

888:2x 2x 2x 3x 37

740:2x 2x 5x 37

542:2x 271

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 3x 3x 37 = 21312

Therefore, the value for common factors is 21312.

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 = 49645720903680/(2x21312)

LCM = 49645720903680/42624

LCM = 1164736320

Thus, we can understand that the LCM of 192,726,888,740,542 is 1164736320.

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

• LCM of 384, 316, 756, 427, 339
• LCM of 631, 954, 469, 129, 864
• LCM of 594, 419, 822, 182, 402
• LCM of 134, 404, 507, 920, 533
• LCM of 301, 241, 935, 167, 140

1. What is the LCM of 192, 726, 888, 740, 542?

Answer: LCM of 192, 726, 888, 740, 542 is 1164736320.

2. How to calculate the LCM of 192, 726, 888, 740, 542?

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 192, 726, 888, 740, 542.

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}.