Given numbers are 381,206,477,874

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

The LCM of 381,206,477,874 is 5453442738.

Find LCM of 381,206,477,874 with Prime Factorization

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

2 x 3 x 127 x 103 x 159 x 437 = 5453442738

Therefore, the lowest common multiple of 381,206,477,874 is 5453442738.

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 206 x 477 x 874 = 32720656428

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

206 : 1, 2, 103, 206

477 : 1, 3, 9, 53, 159, 477

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,206,477,874, is 1.

Now, the common factors can be found like this.

381:3x 127

206:2x 103

477:3x 3x 53

874:2x 19x 23

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 32720656428/(1x6)

LCM = 32720656428/6

LCM = 5453442738

Thus, we can understand that the LCM of 381,206,477,874 is 5453442738.

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

• LCM of 282, 259, 986, 944
• LCM of 922, 954, 793, 611
• LCM of 358, 897, 957, 535
• LCM of 104, 942, 855, 445
• LCM of 356, 416, 634, 203

1. What is the LCM of 381, 206, 477, 874?

Answer: LCM of 381, 206, 477, 874 is 5453442738.

2. How to calculate the LCM of 381, 206, 477, 874?

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, 206, 477, 874.

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}.