Given numbers are 138,206,514,949

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

The LCM of 138,206,514,949 is 3466695102.

Find LCM of 138,206,514,949 with Prime Factorization

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

2 x 69 x 103 x 257 x 949 = 3466695102

Therefore, the lowest common multiple of 138,206,514,949 is 3466695102.

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.

138 x 206 x 514 x 949 = 13866780408

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

206 : 1, 2, 103, 206

514 : 1, 2, 257, 514

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,206,514,949, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

206:2x 103

514:2x 257

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13866780408/(1x4)

LCM = 13866780408/4

LCM = 3466695102

Thus, we can understand that the LCM of 138,206,514,949 is 3466695102.

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

• LCM of 752, 570, 391, 464
• LCM of 368, 786, 938, 949
• LCM of 190, 560, 937, 593
• LCM of 626, 461, 888, 942
• LCM of 845, 734, 312, 517

1. What is the LCM of 138, 206, 514, 949?

Answer: LCM of 138, 206, 514, 949 is 3466695102.

2. How to calculate the LCM of 138, 206, 514, 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 138, 206, 514, 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}.