Given numbers are 230,682,462,696,629

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

The LCM of 230,682,462,696,629 is 120173896920.

Find LCM of 230,682,462,696,629 with Prime Factorization

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

2 x 3 x 11 x 115 x 31 x 7 x 116 x 629 = 120173896920

Therefore, the lowest common multiple of 230,682,462,696,629 is 120173896920.

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.

230 x 682 x 462 x 696 x 629 = 31725908786880

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

682 : 1, 2, 11, 22, 31, 62, 341, 682

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,682,462,696,629, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

682:2x 11x 31

462:2x 3x 7x 11

696:2x 2x 2x 3x 29

629:17x 37

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 11 = 264

Therefore, the value for common factors is 264.

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 = 31725908786880/(1x264)

LCM = 31725908786880/264

LCM = 120173896920

Thus, we can understand that the LCM of 230,682,462,696,629 is 120173896920.

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

• LCM of 449, 153, 606, 691, 931
• LCM of 451, 818, 144, 412, 692
• LCM of 346, 639, 993, 548, 327
• LCM of 945, 320, 117, 973, 517
• LCM of 205, 200, 732, 893, 172

1. What is the LCM of 230, 682, 462, 696, 629?

Answer: LCM of 230, 682, 462, 696, 629 is 120173896920.

2. How to calculate the LCM of 230, 682, 462, 696, 629?

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 230, 682, 462, 696, 629.

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}.