Given numbers are 321,143,546,177

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

The LCM of 321,143,546,177 is 37915878.

Find LCM of 321,143,546,177 with Prime Factorization

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

3 x 13 x 107 x 11 x 14 x 59 = 37915878

Therefore, the lowest common multiple of 321,143,546,177 is 37915878.

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.

321 x 143 x 546 x 177 = 4436157726

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.

321 : 1, 3, 107, 321

143 : 1, 11, 13, 143

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,143,546,177, is 1.

Now, the common factors can be found like this.

321:3x 107

143:11x 13

546:2x 3x 7x 13

177:3x 59

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

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 4436157726/(1x117)

LCM = 4436157726/117

LCM = 37915878

Thus, we can understand that the LCM of 321,143,546,177 is 37915878.

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

• LCM of 818, 337, 461, 846
• LCM of 287, 364, 147, 465
• LCM of 822, 945, 185, 738
• LCM of 299, 565, 455, 290
• LCM of 725, 123, 193, 302

1. What is the LCM of 321, 143, 546, 177?

Answer: LCM of 321, 143, 546, 177 is 37915878.

2. How to calculate the LCM of 321, 143, 546, 177?

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 321, 143, 546, 177.

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}.