Given numbers are 509,106,284,943

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

The LCM of 509,106,284,943 is 7224764324.

Find LCM of 509,106,284,943 with Prime Factorization

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

2 x 509 x 53 x 142 x 943 = 7224764324

Therefore, the lowest common multiple of 509,106,284,943 is 7224764324.

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.

509 x 106 x 284 x 943 = 14449528648

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.

509 : 1, 509

106 : 1, 2, 53, 106

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

943 : 1, 23, 41, 943

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,106,284,943, is 1.

Now, the common factors can be found like this.

509:509

106:2x 53

284:2x 2x 71

943:23x 41

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14449528648/(1x2)

LCM = 14449528648/2

LCM = 7224764324

Thus, we can understand that the LCM of 509,106,284,943 is 7224764324.

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

• LCM of 254, 924, 952, 611
• LCM of 835, 200, 438, 987
• LCM of 543, 112, 586, 982
• LCM of 113, 339, 685, 822
• LCM of 296, 480, 815, 160

1. What is the LCM of 509, 106, 284, 943?

Answer: LCM of 509, 106, 284, 943 is 7224764324.

2. How to calculate the LCM of 509, 106, 284, 943?

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 509, 106, 284, 943.

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}.