Given numbers are 556,828,560,260,364

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

The LCM of 556,828,560,260,364 is 209467440.

Find LCM of 556,828,560,260,364 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 139 x 207 x 4 x 1 x 1 = 209467440

Therefore, the lowest common multiple of 556,828,560,260,364 is 209467440.

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.

556 x 828 x 560 x 260 x 364 = 24398767411200

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.

556 : 1, 2, 4, 139, 278, 556

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,828,560,260,364, is 4.

Now, the common factors can be found like this.

556:2x 2x 139

828:2x 2x 3x 3x 23

560:2x 2x 2x 2x 5x 7

260:2x 2x 5x 13

364:2x 2x 7x 13

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 2x 2x 2x 2x 5x 7x 13 = 29120

Therefore, the value for common factors is 29120.

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 = 24398767411200/(4x29120)

LCM = 24398767411200/116480

LCM = 209467440

Thus, we can understand that the LCM of 556,828,560,260,364 is 209467440.

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

• LCM of 112, 756, 830, 137, 995
• LCM of 653, 236, 976, 888, 282
• LCM of 344, 105, 649, 509, 777
• LCM of 446, 875, 938, 885, 123
• LCM of 656, 605, 589, 809, 990

1. What is the LCM of 556, 828, 560, 260, 364?

Answer: LCM of 556, 828, 560, 260, 364 is 209467440.

2. How to calculate the LCM of 556, 828, 560, 260, 364?

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 556, 828, 560, 260, 364.

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}.