Given numbers are 365,923,742,284

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

The LCM of 365,923,742,284 is 499952180.

Find LCM of 365,923,742,284 with Prime Factorization

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

2 x 71 x 365 x 13 x 371 x 2 = 499952180

Therefore, the lowest common multiple of 365,923,742,284 is 499952180.

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.

365 x 923 x 742 x 284 = 70993209560

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.

365 : 1, 5, 73, 365

923 : 1, 13, 71, 923

742 : 1, 2, 7, 14, 53, 106, 371, 742

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,923,742,284, is 1.

Now, the common factors can be found like this.

365:5x 73

923:13x 71

742:2x 7x 53

284:2x 2x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 70993209560/(1x142)

LCM = 70993209560/142

LCM = 499952180

Thus, we can understand that the LCM of 365,923,742,284 is 499952180.

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

• LCM of 708, 418, 918, 783
• LCM of 557, 598, 233, 295
• LCM of 832, 295, 383, 197
• LCM of 541, 903, 922, 635
• LCM of 153, 754, 456, 667

1. What is the LCM of 365, 923, 742, 284?

Answer: LCM of 365, 923, 742, 284 is 499952180.

2. How to calculate the LCM of 365, 923, 742, 284?

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 365, 923, 742, 284.

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}.