Given numbers are 509,375,498,228

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

The LCM of 509,375,498,228 is 1204039500.

Find LCM of 509,375,498,228 with Prime Factorization

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

2 x 3 x 509 x 125 x 83 x 38 = 1204039500

Therefore, the lowest common multiple of 509,375,498,228 is 1204039500.

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 375 x 498 x 228 = 21672711000

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

375 : 1, 3, 5, 15, 25, 75, 125, 375

498 : 1, 2, 3, 6, 83, 166, 249, 498

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,375,498,228, is 1.

Now, the common factors can be found like this.

509:509

375:3x 5x 5x 5

498:2x 3x 83

228:2x 2x 3x 19

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 21672711000/(1x18)

LCM = 21672711000/18

LCM = 1204039500

Thus, we can understand that the LCM of 509,375,498,228 is 1204039500.

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

• LCM of 360, 436, 950, 522
• LCM of 540, 675, 967, 573
• LCM of 561, 605, 971, 120
• LCM of 625, 821, 621, 493
• LCM of 642, 159, 594, 199

1. What is the LCM of 509, 375, 498, 228?

Answer: LCM of 509, 375, 498, 228 is 1204039500.

2. How to calculate the LCM of 509, 375, 498, 228?

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, 375, 498, 228.

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}.