Given numbers are 378,493,296,458,716

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

The LCM of 378,493,296,458,716 is 1130547848472.

Find LCM of 378,493,296,458,716 with Prime Factorization

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

2 x 2 x 189 x 493 x 74 x 229 x 179 = 1130547848472

Therefore, the lowest common multiple of 378,493,296,458,716 is 1130547848472.

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.

378 x 493 x 296 x 458 x 716 = 18088765575552

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

493 : 1, 17, 29, 493

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

458 : 1, 2, 229, 458

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,493,296,458,716, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

493:17x 29

296:2x 2x 2x 37

458:2x 229

716:2x 2x 179

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 2 = 16

Therefore, the value for common factors is 16.

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 = 18088765575552/(1x16)

LCM = 18088765575552/16

LCM = 1130547848472

Thus, we can understand that the LCM of 378,493,296,458,716 is 1130547848472.

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

• LCM of 529, 233, 825, 710, 167
• LCM of 790, 123, 413, 715, 593
• LCM of 472, 917, 583, 996, 520
• LCM of 821, 873, 431, 634, 520
• LCM of 192, 518, 689, 150, 412

1. What is the LCM of 378, 493, 296, 458, 716?

Answer: LCM of 378, 493, 296, 458, 716 is 1130547848472.

2. How to calculate the LCM of 378, 493, 296, 458, 716?

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 378, 493, 296, 458, 716.

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}.