Given numbers are 786,924,382,438

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

The LCM of 786,924,382,438 is 1687716492.

Find LCM of 786,924,382,438 with Prime Factorization

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

2 x 3 x 131 x 154 x 191 x 73 = 1687716492

Therefore, the lowest common multiple of 786,924,382,438 is 1687716492.

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.

786 x 924 x 382 x 438 = 121515587424

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

382 : 1, 2, 191, 382

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,924,382,438, is 2.

Now, the common factors can be found like this.

786:2x 3x 131

924:2x 2x 3x 7x 11

382:2x 191

438:2x 3x 73

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 = 121515587424/(2x36)

LCM = 121515587424/72

LCM = 1687716492

Thus, we can understand that the LCM of 786,924,382,438 is 1687716492.

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

• LCM of 183, 953, 942, 300
• LCM of 120, 449, 312, 536
• LCM of 322, 244, 395, 973
• LCM of 248, 485, 510, 910
• LCM of 235, 331, 311, 138

1. What is the LCM of 786, 924, 382, 438?

Answer: LCM of 786, 924, 382, 438 is 1687716492.

2. How to calculate the LCM of 786, 924, 382, 438?

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 786, 924, 382, 438.

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}.