Given numbers are 168,129,322,252,903

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

The LCM of 168,129,322,252,903 is 498456.

Find LCM of 168,129,322,252,903 with Prime Factorization

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

2 x 2 x 3 x 7 x 43 x 2 x 1 x 23 x 3 x 1 = 498456

Therefore, the lowest common multiple of 168,129,322,252,903 is 498456.

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.

168 x 129 x 322 x 252 x 903 = 1587973149504

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.

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

129 : 1, 3, 43, 129

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,129,322,252,903, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

129:3x 43

322:2x 7x 23

252:2x 2x 3x 3x 7

903:3x 7x 43

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 3x 3x 3x 7x 7x 7x 43 = 3185784

Therefore, the value for common factors is 3185784.

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 = 1587973149504/(1x3185784)

LCM = 1587973149504/3185784

LCM = 498456

Thus, we can understand that the LCM of 168,129,322,252,903 is 498456.

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

• LCM of 311, 227, 526, 260, 267
• LCM of 769, 411, 978, 992, 362
• LCM of 537, 894, 404, 662, 326
• LCM of 912, 896, 728, 986, 664
• LCM of 339, 282, 825, 947, 164

1. What is the LCM of 168, 129, 322, 252, 903?

Answer: LCM of 168, 129, 322, 252, 903 is 498456.

2. How to calculate the LCM of 168, 129, 322, 252, 903?

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 168, 129, 322, 252, 903.

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}.