Given numbers are 509,681,357,204

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

The LCM of 509,681,357,204 is 164995404.

Find LCM of 509,681,357,204 with Prime Factorization

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

3 x 17 x 509 x 227 x 7 x 4 = 164995404

Therefore, the lowest common multiple of 509,681,357,204 is 164995404.

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 681 x 357 x 204 = 25244296812

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

681 : 1, 3, 227, 681

357 : 1, 3, 7, 17, 21, 51, 119, 357

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,681,357,204, is 1.

Now, the common factors can be found like this.

509:509

681:3x 227

357:3x 7x 17

204:2x 2x 3x 17

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

3x 3x 17 = 153

Therefore, the value for common factors is 153.

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 = 25244296812/(1x153)

LCM = 25244296812/153

LCM = 164995404

Thus, we can understand that the LCM of 509,681,357,204 is 164995404.

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

• LCM of 135, 835, 712, 691
• LCM of 481, 747, 152, 609
• LCM of 601, 180, 637, 640
• LCM of 282, 887, 275, 662
• LCM of 987, 354, 809, 814

1. What is the LCM of 509, 681, 357, 204?

Answer: LCM of 509, 681, 357, 204 is 164995404.

2. How to calculate the LCM of 509, 681, 357, 204?

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, 681, 357, 204.

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}.