Given numbers are 381,446,148,812

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

The LCM of 381,446,148,812 is 2552628372.

Find LCM of 381,446,148,812 with Prime Factorization

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

2 x 2 x 381 x 223 x 37 x 203 = 2552628372

Therefore, the lowest common multiple of 381,446,148,812 is 2552628372.

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 446 x 148 x 812 = 20421026976

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

446 : 1, 2, 223, 446

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,446,148,812, is 1.

Now, the common factors can be found like this.

381:3x 127

446:2x 223

148:2x 2x 37

812:2x 2x 7x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 20421026976/(1x8)

LCM = 20421026976/8

LCM = 2552628372

Thus, we can understand that the LCM of 381,446,148,812 is 2552628372.

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

• LCM of 958, 381, 429, 186
• LCM of 920, 533, 384, 154
• LCM of 457, 225, 759, 630
• LCM of 517, 662, 210, 800
• LCM of 267, 226, 623, 243

1. What is the LCM of 381, 446, 148, 812?

Answer: LCM of 381, 446, 148, 812 is 2552628372.

2. How to calculate the LCM of 381, 446, 148, 812?

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, 446, 148, 812.

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}.