Given numbers are 614,107,213,923,460

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

The LCM of 614,107,213,923,460 is 41841085260.

Find LCM of 614,107,213,923,460 with Prime Factorization

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

2 x 71 x 307 x 107 x 3 x 13 x 230 = 41841085260

Therefore, the lowest common multiple of 614,107,213,923,460 is 41841085260.

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.

614 x 107 x 213 x 923 x 460 = 5941434106920

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.

614 : 1, 2, 307, 614

107 : 1, 107

213 : 1, 3, 71, 213

923 : 1, 13, 71, 923

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,107,213,923,460, is 1.

Now, the common factors can be found like this.

614:2x 307

107:107

213:3x 71

923:13x 71

460:2x 2x 5x 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 71 = 142

Therefore, the value for common factors is 142.

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 = 5941434106920/(1x142)

LCM = 5941434106920/142

LCM = 41841085260

Thus, we can understand that the LCM of 614,107,213,923,460 is 41841085260.

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

• LCM of 477, 830, 855, 816, 344
• LCM of 283, 412, 636, 665, 473
• LCM of 563, 464, 279, 388, 890
• LCM of 525, 844, 647, 407, 658
• LCM of 960, 725, 374, 560, 142

1. What is the LCM of 614, 107, 213, 923, 460?

Answer: LCM of 614, 107, 213, 923, 460 is 41841085260.

2. How to calculate the LCM of 614, 107, 213, 923, 460?

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 614, 107, 213, 923, 460.

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}.