Given numbers are 110,104,407,171

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

The LCM of 110,104,407,171 is 36190440.

Find LCM of 110,104,407,171 with Prime Factorization

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

2 x 11 x 5 x 52 x 37 x 171 = 36190440

Therefore, the lowest common multiple of 110,104,407,171 is 36190440.

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 104 x 407 x 171 = 796189680

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

407 : 1, 11, 37, 407

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,104,407,171, is 1.

Now, the common factors can be found like this.

110:2x 5x 11

104:2x 2x 2x 13

407:11x 37

171:3x 3x 19

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 796189680/(1x22)

LCM = 796189680/22

LCM = 36190440

Thus, we can understand that the LCM of 110,104,407,171 is 36190440.

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

• LCM of 431, 159, 439, 562
• LCM of 809, 419, 848, 340
• LCM of 549, 596, 621, 469
• LCM of 931, 591, 348, 757
• LCM of 567, 726, 930, 724

1. What is the LCM of 110, 104, 407, 171?

Answer: LCM of 110, 104, 407, 171 is 36190440.

2. How to calculate the LCM of 110, 104, 407, 171?

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, 104, 407, 171.

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}.