Given numbers are 678,386,993,368,381

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

The LCM of 678,386,993,368,381 is 1012130566032.

Find LCM of 678,386,993,368,381 with Prime Factorization

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

2 x 3 x 113 x 193 x 331 x 184 x 127 = 1012130566032

Therefore, the lowest common multiple of 678,386,993,368,381 is 1012130566032.

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.

678 x 386 x 993 x 368 x 381 = 36436700377152

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.

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

386 : 1, 2, 193, 386

993 : 1, 3, 331, 993

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

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,386,993,368,381, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

386:2x 193

993:3x 331

368:2x 2x 2x 2x 23

381:3x 127

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 = 36436700377152/(1x36)

LCM = 36436700377152/36

LCM = 1012130566032

Thus, we can understand that the LCM of 678,386,993,368,381 is 1012130566032.

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

• LCM of 659, 412, 642, 639, 228
• LCM of 831, 197, 520, 219, 585
• LCM of 942, 624, 470, 572, 884
• LCM of 676, 869, 638, 558, 792
• LCM of 699, 987, 863, 764, 145

1. What is the LCM of 678, 386, 993, 368, 381?

Answer: LCM of 678, 386, 993, 368, 381 is 1012130566032.

2. How to calculate the LCM of 678, 386, 993, 368, 381?

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 678, 386, 993, 368, 381.

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}.