Given numbers are 242,816,193,970,363

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

The LCM of 242,816,193,970,363 is 9242183280.

Find LCM of 242,816,193,970,363 with Prime Factorization

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

2 x 3 x 11 x 11 x 1 x 136 x 193 x 485 x 1 = 9242183280

Therefore, the lowest common multiple of 242,816,193,970,363 is 9242183280.

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 816 x 193 x 970 x 363 = 13419650122560

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

193 : 1, 193

970 : 1, 2, 5, 10, 97, 194, 485, 970

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,816,193,970,363, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

816:2x 2x 2x 2x 3x 17

193:193

970:2x 5x 97

363:3x 11x 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 11x 11 = 1452

Therefore, the value for common factors is 1452.

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 = 13419650122560/(1x1452)

LCM = 13419650122560/1452

LCM = 9242183280

Thus, we can understand that the LCM of 242,816,193,970,363 is 9242183280.

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

• LCM of 863, 206, 127, 843, 154
• LCM of 104, 436, 582, 752, 794
• LCM of 659, 363, 185, 608, 133
• LCM of 618, 306, 774, 281, 386
• LCM of 177, 178, 896, 656, 333

1. What is the LCM of 242, 816, 193, 970, 363?

Answer: LCM of 242, 816, 193, 970, 363 is 9242183280.

2. How to calculate the LCM of 242, 816, 193, 970, 363?

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, 816, 193, 970, 363.

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}.