Given numbers are 468,962,544,198,402

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

The LCM of 468,962,544,198,402 is 1735617312.

Find LCM of 468,962,544,198,402 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 1 x 37 x 136 x 11 x 67 = 1735617312

Therefore, the lowest common multiple of 468,962,544,198,402 is 1735617312.

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 962 x 544 x 198 x 402 = 19494453648384

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

962 : 1, 2, 13, 26, 37, 74, 481, 962

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,962,544,198,402, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

962:2x 13x 37

544:2x 2x 2x 2x 2x 17

198:2x 3x 3x 11

402:2x 3x 67

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 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

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 = 19494453648384/(2x5616)

LCM = 19494453648384/11232

LCM = 1735617312

Thus, we can understand that the LCM of 468,962,544,198,402 is 1735617312.

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

• LCM of 353, 515, 557, 404, 285
• LCM of 161, 812, 601, 917, 389
• LCM of 705, 773, 301, 926, 739
• LCM of 993, 157, 970, 829, 359
• LCM of 877, 796, 557, 488, 400

1. What is the LCM of 468, 962, 544, 198, 402?

Answer: LCM of 468, 962, 544, 198, 402 is 1735617312.

2. How to calculate the LCM of 468, 962, 544, 198, 402?

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, 962, 544, 198, 402.

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}.