Given numbers are 462,168,212,504,129

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

The LCM of 462,168,212,504,129 is 12634776.

Find LCM of 462,168,212,504,129 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 11 x 1 x 53 x 3 x 43 = 12634776

Therefore, the lowest common multiple of 462,168,212,504,129 is 12634776.

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.

462 x 168 x 212 x 504 x 129 = 1069811753472

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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

212 : 1, 2, 4, 53, 106, 212

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,168,212,504,129, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

168:2x 2x 2x 3x 7

212:2x 2x 53

504:2x 2x 2x 3x 3x 7

129:3x 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 2x 2x 2x 3x 3x 3x 7x 7 = 84672

Therefore, the value for common factors is 84672.

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 = 1069811753472/(1x84672)

LCM = 1069811753472/84672

LCM = 12634776

Thus, we can understand that the LCM of 462,168,212,504,129 is 12634776.

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

• LCM of 997, 635, 992, 569, 910
• LCM of 635, 996, 419, 289, 671
• LCM of 648, 307, 951, 554, 903
• LCM of 665, 293, 166, 774, 725
• LCM of 517, 529, 510, 567, 313

1. What is the LCM of 462, 168, 212, 504, 129?

Answer: LCM of 462, 168, 212, 504, 129 is 12634776.

2. How to calculate the LCM of 462, 168, 212, 504, 129?

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 462, 168, 212, 504, 129.

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}.