Given numbers are 494,132,644,322,406

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

The LCM of 494,132,644,322,406 is 152228076.

Find LCM of 494,132,644,322,406 with Prime Factorization

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

2 x 2 x 7 x 23 x 247 x 33 x 1 x 1 x 29 = 152228076

Therefore, the lowest common multiple of 494,132,644,322,406 is 152228076.

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.

494 x 132 x 644 x 322 x 406 = 5489953332864

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

322 : 1, 2, 7, 14, 23, 46, 161, 322

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,132,644,322,406, is 2.

Now, the common factors can be found like this.

494:2x 13x 19

132:2x 2x 3x 11

644:2x 2x 7x 23

322:2x 7x 23

406:2x 7x 29

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 2x 7x 7x 23 = 18032

Therefore, the value for common factors is 18032.

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 = 5489953332864/(2x18032)

LCM = 5489953332864/36064

LCM = 152228076

Thus, we can understand that the LCM of 494,132,644,322,406 is 152228076.

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

• LCM of 152, 627, 141, 323, 142
• LCM of 751, 373, 842, 889, 694
• LCM of 544, 425, 396, 569, 222
• LCM of 283, 245, 943, 339, 702
• LCM of 734, 562, 629, 809, 589

1. What is the LCM of 494, 132, 644, 322, 406?

Answer: LCM of 494, 132, 644, 322, 406 is 152228076.

2. How to calculate the LCM of 494, 132, 644, 322, 406?

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 494, 132, 644, 322, 406.

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}.