Given numbers are 179,734,468,188,742

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

The LCM of 179,734,468,188,742 is 536088777588.

Find LCM of 179,734,468,188,742 with Prime Factorization

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

2 x 2 x 179 x 367 x 117 x 47 x 371 = 536088777588

Therefore, the lowest common multiple of 179,734,468,188,742 is 536088777588.

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.

179 x 734 x 468 x 188 x 742 = 8577420441408

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.

179 : 1, 179

734 : 1, 2, 367, 734

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

188 : 1, 2, 4, 47, 94, 188

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,734,468,188,742, is 1.

Now, the common factors can be found like this.

179:179

734:2x 367

468:2x 2x 3x 3x 13

188:2x 2x 47

742:2x 7x 53

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 2 = 16

Therefore, the value for common factors is 16.

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 = 8577420441408/(1x16)

LCM = 8577420441408/16

LCM = 536088777588

Thus, we can understand that the LCM of 179,734,468,188,742 is 536088777588.

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

• LCM of 651, 741, 423, 216, 739
• LCM of 980, 604, 161, 975, 298
• LCM of 485, 986, 774, 365, 764
• LCM of 950, 172, 136, 387, 337
• LCM of 469, 445, 564, 885, 576

1. What is the LCM of 179, 734, 468, 188, 742?

Answer: LCM of 179, 734, 468, 188, 742 is 536088777588.

2. How to calculate the LCM of 179, 734, 468, 188, 742?

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 179, 734, 468, 188, 742.

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}.