Given numbers are 305,382,793,949

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

The LCM of 305,382,793,949 is 110567990.

Find LCM of 305,382,793,949 with Prime Factorization

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

13 x 61 x 5 x 382 x 1 x 73 = 110567990

Therefore, the lowest common multiple of 305,382,793,949 is 110567990.

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.

305 x 382 x 793 x 949 = 87680416070

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.

305 : 1, 5, 61, 305

382 : 1, 2, 191, 382

793 : 1, 13, 61, 793

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,382,793,949, is 1.

Now, the common factors can be found like this.

305:5x 61

382:2x 191

793:13x 61

949:13x 73

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

13x 61 = 793

Therefore, the value for common factors is 793.

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 = 87680416070/(1x793)

LCM = 87680416070/793

LCM = 110567990

Thus, we can understand that the LCM of 305,382,793,949 is 110567990.

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

• LCM of 254, 776, 199, 500
• LCM of 501, 967, 233, 693
• LCM of 830, 705, 970, 935
• LCM of 589, 356, 107, 758
• LCM of 906, 228, 348, 224

1. What is the LCM of 305, 382, 793, 949?

Answer: LCM of 305, 382, 793, 949 is 110567990.

2. How to calculate the LCM of 305, 382, 793, 949?

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 305, 382, 793, 949.

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}.