Given numbers are 417,169,132,966

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

The LCM of 417,169,132,966 is 499230732.

Find LCM of 417,169,132,966 with Prime Factorization

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

2 x 3 x 139 x 169 x 22 x 161 = 499230732

Therefore, the lowest common multiple of 417,169,132,966 is 499230732.

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.

417 x 169 x 132 x 966 = 8986153176

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.

417 : 1, 3, 139, 417

169 : 1, 13, 169

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,169,132,966, is 1.

Now, the common factors can be found like this.

417:3x 139

169:13x 13

132:2x 2x 3x 11

966:2x 3x 7x 23

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 8986153176/(1x18)

LCM = 8986153176/18

LCM = 499230732

Thus, we can understand that the LCM of 417,169,132,966 is 499230732.

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

• LCM of 601, 992, 657, 225
• LCM of 578, 326, 657, 681
• LCM of 532, 938, 550, 216
• LCM of 872, 812, 865, 380
• LCM of 943, 466, 369, 912

1. What is the LCM of 417, 169, 132, 966?

Answer: LCM of 417, 169, 132, 966 is 499230732.

2. How to calculate the LCM of 417, 169, 132, 966?

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 417, 169, 132, 966.

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}.