Given numbers are 514,209,422,52

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

The LCM of 514,209,422,52 is 589339036.

Find LCM of 514,209,422,52 with Prime Factorization

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

2 x 257 x 209 x 211 x 26 = 589339036

Therefore, the lowest common multiple of 514,209,422,52 is 589339036.

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.

514 x 209 x 422 x 52 = 2357356144

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.

514 : 1, 2, 257, 514

209 : 1, 11, 19, 209

422 : 1, 2, 211, 422

52 : 1, 2, 4, 13, 26, 52

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,209,422,52, is 1.

Now, the common factors can be found like this.

514:2x 257

209:11x 19

422:2x 211

52:2x 2x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2357356144/(1x4)

LCM = 2357356144/4

LCM = 589339036

Thus, we can understand that the LCM of 514,209,422,52 is 589339036.

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

• LCM of 783, 975, 646, 43
• LCM of 185, 134, 866, 44
• LCM of 769, 907, 661, 61
• LCM of 458, 480, 470, 70
• LCM of 997, 786, 412, 31

1. What is the LCM of 514, 209, 422, 52?

Answer: LCM of 514, 209, 422, 52 is 589339036.

2. How to calculate the LCM of 514, 209, 422, 52?

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 514, 209, 422, 52.

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}.