Given numbers are 323,220,121,171

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

The LCM of 323,220,121,171 is 7034940.

Find LCM of 323,220,121,171 with Prime Factorization

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

11 x 19 x 17 x 20 x 11 x 9 = 7034940

Therefore, the lowest common multiple of 323,220,121,171 is 7034940.

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.

323 x 220 x 121 x 171 = 1470302460

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.

323 : 1, 17, 19, 323

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

121 : 1, 11, 121

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 323,220,121,171, is 1.

Now, the common factors can be found like this.

323:17x 19

220:2x 2x 5x 11

121:11x 11

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.

11x 19 = 209

Therefore, the value for common factors is 209.

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 = 1470302460/(1x209)

LCM = 1470302460/209

LCM = 7034940

Thus, we can understand that the LCM of 323,220,121,171 is 7034940.

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

• LCM of 995, 725, 627, 506
• LCM of 317, 343, 683, 735
• LCM of 669, 717, 132, 944
• LCM of 975, 932, 765, 784
• LCM of 959, 575, 688, 654

1. What is the LCM of 323, 220, 121, 171?

Answer: LCM of 323, 220, 121, 171 is 7034940.

2. How to calculate the LCM of 323, 220, 121, 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 323, 220, 121, 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}.