Given numbers are 296,579,351,314,678

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

The LCM of 296,579,351,314,678 is 355741254648.

Find LCM of 296,579,351,314,678 with Prime Factorization

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

2 x 3 x 148 x 193 x 117 x 157 x 113 = 355741254648

Therefore, the lowest common multiple of 296,579,351,314,678 is 355741254648.

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.

296 x 579 x 351 x 314 x 678 = 12806685167328

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.

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

579 : 1, 3, 193, 579

351 : 1, 3, 9, 13, 27, 39, 117, 351

314 : 1, 2, 157, 314

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,579,351,314,678, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

579:3x 193

351:3x 3x 3x 13

314:2x 157

678:2x 3x 113

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 12806685167328/(1x36)

LCM = 12806685167328/36

LCM = 355741254648

Thus, we can understand that the LCM of 296,579,351,314,678 is 355741254648.

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

• LCM of 871, 377, 187, 473, 635
• LCM of 624, 861, 502, 475, 706
• LCM of 460, 435, 448, 843, 845
• LCM of 375, 166, 735, 621, 166
• LCM of 965, 788, 217, 186, 398

1. What is the LCM of 296, 579, 351, 314, 678?

Answer: LCM of 296, 579, 351, 314, 678 is 355741254648.

2. How to calculate the LCM of 296, 579, 351, 314, 678?

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 296, 579, 351, 314, 678.

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}.