Given numbers are 515,523,309,442

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

The LCM of 515,523,309,442 is 357151470.

Find LCM of 515,523,309,442 with Prime Factorization

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

103 x 5 x 523 x 3 x 442 = 357151470

Therefore, the lowest common multiple of 515,523,309,442 is 357151470.

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.

515 x 523 x 309 x 442 = 36786601410

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.

515 : 1, 5, 103, 515

523 : 1, 523

309 : 1, 3, 103, 309

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,523,309,442, is 1.

Now, the common factors can be found like this.

515:5x 103

523:523

309:3x 103

442:2x 13x 17

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

103 = 103

Therefore, the value for common factors is 103.

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 = 36786601410/(1x103)

LCM = 36786601410/103

LCM = 357151470

Thus, we can understand that the LCM of 515,523,309,442 is 357151470.

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

• LCM of 751, 650, 896, 321
• LCM of 403, 532, 773, 285
• LCM of 885, 371, 616, 587
• LCM of 785, 155, 311, 759
• LCM of 627, 147, 108, 862

1. What is the LCM of 515, 523, 309, 442?

Answer: LCM of 515, 523, 309, 442 is 357151470.

2. How to calculate the LCM of 515, 523, 309, 442?

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 515, 523, 309, 442.

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}.