Given numbers are 509,844,614

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

The LCM of 509,844,614 is 131885972.

Find LCM of 509,844,614 with Prime Factorization

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

2 x 509 x 422 x 307 = 131885972

Therefore, the lowest common multiple of 509,844,614 is 131885972.

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 844 x 614 = 263771944

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

844 : 1, 2, 4, 211, 422, 844

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,844,614, is 1.

Now, the common factors can be found like this.

509:509

844:2x 2x 211

614:2x 307

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 = 263771944/(1x2)

LCM = 263771944/2

LCM = 131885972

Thus, we can understand that the LCM of 509,844,614 is 131885972.

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

• LCM of 522, 824, 479
• LCM of 888, 882, 168
• LCM of 808, 459, 926
• LCM of 758, 424, 922
• LCM of 184, 556, 990

1. What is the LCM of 509, 844, 614?

Answer: LCM of 509, 844, 614 is 131885972.

2. How to calculate the LCM of 509, 844, 614?

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, 844, 614.

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}.