Given numbers are 794,296,414,248,312

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

The LCM of 794,296,414,248,312 is 9802968552.

Find LCM of 794,296,414,248,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 397 x 37 x 69 x 31 x 13 = 9802968552

Therefore, the lowest common multiple of 794,296,414,248,312 is 9802968552.

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.

794 x 296 x 414 x 248 x 312 = 7528679847936

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.

794 : 1, 2, 397, 794

296 : 1, 2, 4, 8, 37, 74, 148, 296

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

248 : 1, 2, 4, 8, 31, 62, 124, 248

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,296,414,248,312, is 2.

Now, the common factors can be found like this.

794:2x 397

296:2x 2x 2x 37

414:2x 3x 3x 23

248:2x 2x 2x 31

312:2x 2x 2x 3x 13

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 3 = 384

Therefore, the value for common factors is 384.

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 = 7528679847936/(2x384)

LCM = 7528679847936/768

LCM = 9802968552

Thus, we can understand that the LCM of 794,296,414,248,312 is 9802968552.

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

• LCM of 779, 145, 562, 496, 447
• LCM of 552, 420, 452, 809, 647
• LCM of 137, 464, 130, 649, 930
• LCM of 101, 939, 729, 185, 826
• LCM of 968, 677, 689, 544, 673

1. What is the LCM of 794, 296, 414, 248, 312?

Answer: LCM of 794, 296, 414, 248, 312 is 9802968552.

2. How to calculate the LCM of 794, 296, 414, 248, 312?

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 794, 296, 414, 248, 312.

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}.