Given numbers are 381,788,504,696

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

The LCM of 381,788,504,696 is 365677704.

Find LCM of 381,788,504,696 with Prime Factorization

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

2 x 2 x 2 x 3 x 127 x 197 x 21 x 29 = 365677704

Therefore, the lowest common multiple of 381,788,504,696 is 365677704.

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.

381 x 788 x 504 x 696 = 105315178752

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.

381 : 1, 3, 127, 381

788 : 1, 2, 4, 197, 394, 788

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,788,504,696, is 1.

Now, the common factors can be found like this.

381:3x 127

788:2x 2x 197

504:2x 2x 2x 3x 3x 7

696:2x 2x 2x 3x 29

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 105315178752/(1x288)

LCM = 105315178752/288

LCM = 365677704

Thus, we can understand that the LCM of 381,788,504,696 is 365677704.

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

• LCM of 856, 425, 365, 348
• LCM of 505, 486, 535, 681
• LCM of 770, 640, 158, 592
• LCM of 174, 801, 999, 921
• LCM of 382, 852, 758, 925

1. What is the LCM of 381, 788, 504, 696?

Answer: LCM of 381, 788, 504, 696 is 365677704.

2. How to calculate the LCM of 381, 788, 504, 696?

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 381, 788, 504, 696.

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}.