Given numbers are 510,486,552,607

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

The LCM of 510,486,552,607 is 2306915640.

Find LCM of 510,486,552,607 with Prime Factorization

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

2 x 3 x 85 x 81 x 92 x 607 = 2306915640

Therefore, the lowest common multiple of 510,486,552,607 is 2306915640.

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.

510 x 486 x 552 x 607 = 83048963040

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

607 : 1, 607

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,486,552,607, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

486:2x 3x 3x 3x 3x 3

552:2x 2x 2x 3x 23

607:607

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 83048963040/(1x36)

LCM = 83048963040/36

LCM = 2306915640

Thus, we can understand that the LCM of 510,486,552,607 is 2306915640.

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

• LCM of 253, 914, 227, 930
• LCM of 543, 671, 157, 228
• LCM of 769, 400, 742, 281
• LCM of 855, 223, 295, 706
• LCM of 287, 376, 589, 477

1. What is the LCM of 510, 486, 552, 607?

Answer: LCM of 510, 486, 552, 607 is 2306915640.

2. How to calculate the LCM of 510, 486, 552, 607?

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 510, 486, 552, 607.

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}.