Given numbers are 242,330,596,968,904

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

The LCM of 242,330,596,968,904 is 244473240.

Find LCM of 242,330,596,968,904 with Prime Factorization

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

2 x 2 x 2 x 11 x 11 x 1 x 15 x 149 x 1 x 113 = 244473240

Therefore, the lowest common multiple of 242,330,596,968,904 is 244473240.

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.

242 x 330 x 596 x 968 x 904 = 41650416952320

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.

242 : 1, 2, 11, 22, 121, 242

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

596 : 1, 2, 4, 149, 298, 596

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

904 : 1, 2, 4, 8, 113, 226, 452, 904

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,330,596,968,904, is 2.

Now, the common factors can be found like this.

242:2x 11x 11

330:2x 3x 5x 11

596:2x 2x 149

968:2x 2x 2x 11x 11

904:2x 2x 2x 113

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 11x 11x 11 = 85184

Therefore, the value for common factors is 85184.

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 = 41650416952320/(2x85184)

LCM = 41650416952320/170368

LCM = 244473240

Thus, we can understand that the LCM of 242,330,596,968,904 is 244473240.

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

• LCM of 469, 411, 576, 331, 992
• LCM of 702, 108, 172, 649, 814
• LCM of 463, 649, 733, 995, 154
• LCM of 380, 873, 413, 587, 772
• LCM of 444, 850, 917, 454, 314

1. What is the LCM of 242, 330, 596, 968, 904?

Answer: LCM of 242, 330, 596, 968, 904 is 244473240.

2. How to calculate the LCM of 242, 330, 596, 968, 904?

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 242, 330, 596, 968, 904.

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}.