Given numbers are 301,366,213,478

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

The LCM of 301,366,213,478 is 1869406854.

Find LCM of 301,366,213,478 with Prime Factorization

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

2 x 3 x 301 x 61 x 71 x 239 = 1869406854

Therefore, the lowest common multiple of 301,366,213,478 is 1869406854.

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.

301 x 366 x 213 x 478 = 11216441124

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.

301 : 1, 7, 43, 301

366 : 1, 2, 3, 6, 61, 122, 183, 366

213 : 1, 3, 71, 213

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,366,213,478, is 1.

Now, the common factors can be found like this.

301:7x 43

366:2x 3x 61

213:3x 71

478:2x 239

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 = 11216441124/(1x6)

LCM = 11216441124/6

LCM = 1869406854

Thus, we can understand that the LCM of 301,366,213,478 is 1869406854.

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

• LCM of 498, 886, 937, 886
• LCM of 976, 919, 930, 772
• LCM of 611, 815, 148, 201
• LCM of 456, 111, 162, 254
• LCM of 753, 283, 369, 437

1. What is the LCM of 301, 366, 213, 478?

Answer: LCM of 301, 366, 213, 478 is 1869406854.

2. How to calculate the LCM of 301, 366, 213, 478?

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 301, 366, 213, 478.

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}.