Given numbers are 381,201,312,227

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

The LCM of 381,201,312,227 is 602641416.

Find LCM of 381,201,312,227 with Prime Factorization

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

3 x 127 x 67 x 104 x 227 = 602641416

Therefore, the lowest common multiple of 381,201,312,227 is 602641416.

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 201 x 312 x 227 = 5423772744

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

201 : 1, 3, 67, 201

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

227 : 1, 227

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,201,312,227, is 1.

Now, the common factors can be found like this.

381:3x 127

201:3x 67

312:2x 2x 2x 3x 13

227:227

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 5423772744/(1x9)

LCM = 5423772744/9

LCM = 602641416

Thus, we can understand that the LCM of 381,201,312,227 is 602641416.

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

• LCM of 556, 302, 579, 429
• LCM of 536, 518, 805, 960
• LCM of 250, 754, 280, 342
• LCM of 278, 864, 919, 226
• LCM of 151, 825, 263, 335

1. What is the LCM of 381, 201, 312, 227?

Answer: LCM of 381, 201, 312, 227 is 602641416.

2. How to calculate the LCM of 381, 201, 312, 227?

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, 201, 312, 227.

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}.