Given numbers are 828,183,141,365

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

The LCM of 828,183,141,365 is 866464740.

Find LCM of 828,183,141,365 with Prime Factorization

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

3 x 276 x 61 x 47 x 365 = 866464740

Therefore, the lowest common multiple of 828,183,141,365 is 866464740.

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.

828 x 183 x 141 x 365 = 7798182660

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

183 : 1, 3, 61, 183

141 : 1, 3, 47, 141

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,183,141,365, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

183:3x 61

141:3x 47

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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 7798182660/(1x9)

LCM = 7798182660/9

LCM = 866464740

Thus, we can understand that the LCM of 828,183,141,365 is 866464740.

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

• LCM of 935, 200, 980, 935
• LCM of 476, 247, 501, 793
• LCM of 198, 161, 793, 584
• LCM of 857, 977, 415, 404
• LCM of 969, 739, 585, 492

1. What is the LCM of 828, 183, 141, 365?

Answer: LCM of 828, 183, 141, 365 is 866464740.

2. How to calculate the LCM of 828, 183, 141, 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 828, 183, 141, 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}.