Given numbers are 144,589,319,536

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

The LCM of 144,589,319,536 is 1812772368.

Find LCM of 144,589,319,536 with Prime Factorization

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

2 x 2 x 2 x 18 x 589 x 319 x 67 = 1812772368

Therefore, the lowest common multiple of 144,589,319,536 is 1812772368.

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 589 x 319 x 536 = 14502178944

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

589 : 1, 19, 31, 589

319 : 1, 11, 29, 319

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,589,319,536, is 1.

Now, the common factors can be found like this.

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

589:19x 31

319:11x 29

536:2x 2x 2x 67

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 2 = 8

Therefore, the value for common factors is 8.

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 = 14502178944/(1x8)

LCM = 14502178944/8

LCM = 1812772368

Thus, we can understand that the LCM of 144,589,319,536 is 1812772368.

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

• LCM of 596, 766, 678, 221
• LCM of 115, 812, 294, 278
• LCM of 626, 978, 522, 492
• LCM of 388, 326, 783, 383
• LCM of 466, 160, 644, 645

1. What is the LCM of 144, 589, 319, 536?

Answer: LCM of 144, 589, 319, 536 is 1812772368.

2. How to calculate the LCM of 144, 589, 319, 536?

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, 589, 319, 536.

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}.