Given numbers are 517,288,539

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

The LCM of 517,288,539 is 7295904.

Find LCM of 517,288,539 with Prime Factorization

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

11 x 47 x 288 x 49 = 7295904

Therefore, the lowest common multiple of 517,288,539 is 7295904.

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.

517 x 288 x 539 = 80254944

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.

517 : 1, 11, 47, 517

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

539 : 1, 7, 11, 49, 77, 539

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,288,539, is 1.

Now, the common factors can be found like this.

517:11x 47

288:2x 2x 2x 2x 2x 3x 3

539:7x 7x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 80254944/(1x11)

LCM = 80254944/11

LCM = 7295904

Thus, we can understand that the LCM of 517,288,539 is 7295904.

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

• LCM of 533, 185, 867
• LCM of 103, 222, 250
• LCM of 942, 945, 129
• LCM of 429, 711, 793
• LCM of 398, 586, 869

1. What is the LCM of 517, 288, 539?

Answer: LCM of 517, 288, 539 is 7295904.

2. How to calculate the LCM of 517, 288, 539?

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 517, 288, 539.

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}.