Given numbers are 144,867,129,593,201

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

The LCM of 144,867,129,593,201 is 71098147728.

Find LCM of 144,867,129,593,201 with Prime Factorization

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

3 x 48 x 289 x 43 x 593 x 67 = 71098147728

Therefore, the lowest common multiple of 144,867,129,593,201 is 71098147728.

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.

144 x 867 x 129 x 593 x 201 = 1919649988656

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

867 : 1, 3, 17, 51, 289, 867

129 : 1, 3, 43, 129

593 : 1, 593

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,867,129,593,201, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

867:3x 17x 17

129:3x 43

593:593

201:3x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 1919649988656/(1x27)

LCM = 1919649988656/27

LCM = 71098147728

Thus, we can understand that the LCM of 144,867,129,593,201 is 71098147728.

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

• LCM of 296, 798, 207, 872, 834
• LCM of 880, 211, 251, 450, 482
• LCM of 358, 294, 141, 428, 219
• LCM of 704, 511, 854, 522, 487
• LCM of 608, 744, 923, 125, 216

1. What is the LCM of 144, 867, 129, 593, 201?

Answer: LCM of 144, 867, 129, 593, 201 is 71098147728.

2. How to calculate the LCM of 144, 867, 129, 593, 201?

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 144, 867, 129, 593, 201.

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}.