Given numbers are 342,726,239,788,552

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

The LCM of 342,726,239,788,552 is 179251760952.

Find LCM of 342,726,239,788,552 with Prime Factorization

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

2 x 2 x 3 x 57 x 121 x 239 x 197 x 46 = 179251760952

Therefore, the lowest common multiple of 342,726,239,788,552 is 179251760952.

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.

342 x 726 x 239 x 788 x 552 = 25812253577088

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

239 : 1, 239

788 : 1, 2, 4, 197, 394, 788

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,726,239,788,552, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

726:2x 3x 11x 11

239:239

788:2x 2x 197

552:2x 2x 2x 3x 23

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 25812253577088/(1x144)

LCM = 25812253577088/144

LCM = 179251760952

Thus, we can understand that the LCM of 342,726,239,788,552 is 179251760952.

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

• LCM of 662, 364, 980, 899, 323
• LCM of 223, 759, 541, 441, 338
• LCM of 857, 332, 654, 898, 105
• LCM of 904, 781, 445, 864, 407
• LCM of 330, 384, 150, 612, 347

1. What is the LCM of 342, 726, 239, 788, 552?

Answer: LCM of 342, 726, 239, 788, 552 is 179251760952.

2. How to calculate the LCM of 342, 726, 239, 788, 552?

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 342, 726, 239, 788, 552.

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}.