Given numbers are 814,192,392,452,368

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

The LCM of 814,192,392,452,368 is 9951716544.

Find LCM of 814,192,392,452,368 with Prime Factorization

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

2 x 2 x 2 x 2 x 407 x 12 x 49 x 113 x 23 = 9951716544

Therefore, the lowest common multiple of 814,192,392,452,368 is 9951716544.

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.

814 x 192 x 392 x 452 x 368 = 10190557741056

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

452 : 1, 2, 4, 113, 226, 452

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,192,392,452,368, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

192:2x 2x 2x 2x 2x 2x 3

392:2x 2x 2x 7x 7

452:2x 2x 113

368:2x 2x 2x 2x 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 2x 2x 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 10190557741056/(2x512)

LCM = 10190557741056/1024

LCM = 9951716544

Thus, we can understand that the LCM of 814,192,392,452,368 is 9951716544.

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

• LCM of 235, 385, 516, 673, 933
• LCM of 911, 855, 507, 654, 385
• LCM of 707, 660, 989, 564, 839
• LCM of 696, 166, 443, 461, 168
• LCM of 940, 965, 747, 884, 314

1. What is the LCM of 814, 192, 392, 452, 368?

Answer: LCM of 814, 192, 392, 452, 368 is 9951716544.

2. How to calculate the LCM of 814, 192, 392, 452, 368?

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 814, 192, 392, 452, 368.

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}.