Given numbers are 230,572,912,638,198

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

The LCM of 230,572,912,638,198 is 1304812080.

Find LCM of 230,572,912,638,198 with Prime Factorization

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

2 x 2 x 3 x 11 x 115 x 13 x 76 x 29 x 3 = 1304812080

Therefore, the lowest common multiple of 230,572,912,638,198 is 1304812080.

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 572 x 912 x 638 x 198 = 15156697121280

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

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

638 : 1, 2, 11, 22, 29, 58, 319, 638

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,572,912,638,198, is 2.

Now, the common factors can be found like this.

230:2x 5x 23

572:2x 2x 11x 13

912:2x 2x 2x 2x 3x 19

638:2x 11x 29

198:2x 3x 3x 11

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 3x 11x 11 = 5808

Therefore, the value for common factors is 5808.

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 = 15156697121280/(2x5808)

LCM = 15156697121280/11616

LCM = 1304812080

Thus, we can understand that the LCM of 230,572,912,638,198 is 1304812080.

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

• LCM of 639, 263, 745, 611, 148
• LCM of 641, 590, 919, 286, 299
• LCM of 518, 404, 832, 177, 942
• LCM of 904, 199, 833, 935, 813
• LCM of 116, 258, 913, 322, 767

1. What is the LCM of 230, 572, 912, 638, 198?

Answer: LCM of 230, 572, 912, 638, 198 is 1304812080.

2. How to calculate the LCM of 230, 572, 912, 638, 198?

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, 572, 912, 638, 198.

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}.