Given numbers are 817,171,149

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

The LCM of 817,171,149 is 1095597.

Find LCM of 817,171,149 with Prime Factorization

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

19 x 43 x 9 x 149 = 1095597

Therefore, the lowest common multiple of 817,171,149 is 1095597.

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.

817 x 171 x 149 = 20816343

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.

817 : 1, 19, 43, 817

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

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,171,149, is 1.

Now, the common factors can be found like this.

817:19x 43

171:3x 3x 19

149:149

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

19 = 19

Therefore, the value for common factors is 19.

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 = 20816343/(1x19)

LCM = 20816343/19

LCM = 1095597

Thus, we can understand that the LCM of 817,171,149 is 1095597.

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

• LCM of 546, 810, 796
• LCM of 799, 234, 331
• LCM of 466, 904, 461
• LCM of 380, 261, 703
• LCM of 648, 108, 898

1. What is the LCM of 817, 171, 149?

Answer: LCM of 817, 171, 149 is 1095597.

2. How to calculate the LCM of 817, 171, 149?

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 817, 171, 149.

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}.