Given numbers are 468,403,822,168,460

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

The LCM of 468,403,822,168,460 is 3200029560.

Find LCM of 468,403,822,168,460 with Prime Factorization

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

2 x 2 x 3 x 13 x 3 x 31 x 137 x 14 x 115 = 3200029560

Therefore, the lowest common multiple of 468,403,822,168,460 is 3200029560.

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.

468 x 403 x 822 x 168 x 460 = 11980910672640

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

403 : 1, 13, 31, 403

822 : 1, 2, 3, 6, 137, 274, 411, 822

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,403,822,168,460, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

403:13x 31

822:2x 3x 137

168:2x 2x 2x 3x 7

460:2x 2x 5x 23

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 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 11980910672640/(1x3744)

LCM = 11980910672640/3744

LCM = 3200029560

Thus, we can understand that the LCM of 468,403,822,168,460 is 3200029560.

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

• LCM of 959, 355, 769, 841, 437
• LCM of 646, 780, 815, 398, 309
• LCM of 748, 799, 424, 643, 258
• LCM of 957, 221, 720, 538, 308
• LCM of 694, 551, 189, 354, 211

1. What is the LCM of 468, 403, 822, 168, 460?

Answer: LCM of 468, 403, 822, 168, 460 is 3200029560.

2. How to calculate the LCM of 468, 403, 822, 168, 460?

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 468, 403, 822, 168, 460.

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}.