Given numbers are 804,121,146,365

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

The LCM of 804,121,146,365 is 35508660.

Find LCM of 804,121,146,365 with Prime Factorization

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

2 x 73 x 402 x 121 x 1 x 5 = 35508660

Therefore, the lowest common multiple of 804,121,146,365 is 35508660.

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.

804 x 121 x 146 x 365 = 5184264360

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

121 : 1, 11, 121

146 : 1, 2, 73, 146

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,121,146,365, is 1.

Now, the common factors can be found like this.

804:2x 2x 3x 67

121:11x 11

146:2x 73

365:5x 73

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 5184264360/(1x146)

LCM = 5184264360/146

LCM = 35508660

Thus, we can understand that the LCM of 804,121,146,365 is 35508660.

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

• LCM of 377, 928, 694, 907
• LCM of 649, 244, 869, 273
• LCM of 878, 100, 969, 151
• LCM of 325, 165, 272, 221
• LCM of 968, 280, 374, 258

1. What is the LCM of 804, 121, 146, 365?

Answer: LCM of 804, 121, 146, 365 is 35508660.

2. How to calculate the LCM of 804, 121, 146, 365?

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 804, 121, 146, 365.

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}.