Given numbers are 110,115,407

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

The LCM of 110,115,407 is 93610.

Find LCM of 110,115,407 with Prime Factorization

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

5 x 11 x 2 x 23 x 37 = 93610

Therefore, the lowest common multiple of 110,115,407 is 93610.

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.

110 x 115 x 407 = 5148550

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

115 : 1, 5, 23, 115

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,115,407, is 1.

Now, the common factors can be found like this.

110:2x 5x 11

115:5x 23

407:11x 37

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

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 5148550/(1x55)

LCM = 5148550/55

LCM = 93610

Thus, we can understand that the LCM of 110,115,407 is 93610.

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

• LCM of 780, 505, 511
• LCM of 560, 794, 555
• LCM of 253, 600, 346
• LCM of 154, 742, 449
• LCM of 496, 489, 394

1. What is the LCM of 110, 115, 407?

Answer: LCM of 110, 115, 407 is 93610.

2. How to calculate the LCM of 110, 115, 407?

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 110, 115, 407.

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}.