Given numbers are 147,194,591,816,442

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

The LCM of 147,194,591,816,442 is 9932705328.

Find LCM of 147,194,591,816,442 with Prime Factorization

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

2 x 3 x 17 x 49 x 97 x 197 x 8 x 13 = 9932705328

Therefore, the lowest common multiple of 147,194,591,816,442 is 9932705328.

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.

147 x 194 x 591 x 816 x 442 = 6078815660736

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.

147 : 1, 3, 7, 21, 49, 147

194 : 1, 2, 97, 194

591 : 1, 3, 197, 591

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,194,591,816,442, is 1.

Now, the common factors can be found like this.

147:3x 7x 7

194:2x 97

591:3x 197

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

442:2x 13x 17

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 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 6078815660736/(1x612)

LCM = 6078815660736/612

LCM = 9932705328

Thus, we can understand that the LCM of 147,194,591,816,442 is 9932705328.

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

• LCM of 388, 320, 839, 960, 960
• LCM of 789, 796, 761, 886, 405
• LCM of 589, 552, 627, 767, 236
• LCM of 406, 342, 989, 605, 387
• LCM of 234, 424, 902, 358, 945

1. What is the LCM of 147, 194, 591, 816, 442?

Answer: LCM of 147, 194, 591, 816, 442 is 9932705328.

2. How to calculate the LCM of 147, 194, 591, 816, 442?

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 147, 194, 591, 816, 442.

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}.