Given numbers are 831,209,167,171

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

The LCM of 831,209,167,171 is 87013179.

Find LCM of 831,209,167,171 with Prime Factorization

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

3 x 19 x 277 x 11 x 167 x 3 = 87013179

Therefore, the lowest common multiple of 831,209,167,171 is 87013179.

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.

831 x 209 x 167 x 171 = 4959751203

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.

831 : 1, 3, 277, 831

209 : 1, 11, 19, 209

167 : 1, 167

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 831,209,167,171, is 1.

Now, the common factors can be found like this.

831:3x 277

209:11x 19

167:167

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.

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 4959751203/(1x57)

LCM = 4959751203/57

LCM = 87013179

Thus, we can understand that the LCM of 831,209,167,171 is 87013179.

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

• LCM of 447, 144, 285, 461
• LCM of 634, 488, 774, 898
• LCM of 375, 508, 716, 107
• LCM of 925, 589, 915, 127
• LCM of 545, 852, 263, 823

1. What is the LCM of 831, 209, 167, 171?

Answer: LCM of 831, 209, 167, 171 is 87013179.

2. How to calculate the LCM of 831, 209, 167, 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 831, 209, 167, 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}.