Given numbers are 448,545,556,114,566

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

The LCM of 448,545,556,114,566 is 547457749440.

Find LCM of 448,545,556,114,566 with Prime Factorization

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

2 x 2 x 112 x 545 x 139 x 57 x 283 = 547457749440

Therefore, the lowest common multiple of 448,545,556,114,566 is 547457749440.

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.

448 x 545 x 556 x 114 x 566 = 8759323991040

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

545 : 1, 5, 109, 545

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

114 : 1, 2, 3, 6, 19, 38, 57, 114

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,545,556,114,566, is 1.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

545:5x 109

556:2x 2x 139

114:2x 3x 19

566:2x 283

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 2 = 16

Therefore, the value for common factors is 16.

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 = 8759323991040/(1x16)

LCM = 8759323991040/16

LCM = 547457749440

Thus, we can understand that the LCM of 448,545,556,114,566 is 547457749440.

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

• LCM of 395, 654, 173, 810, 522
• LCM of 610, 327, 384, 668, 147
• LCM of 755, 768, 694, 881, 573
• LCM of 541, 280, 209, 848, 954
• LCM of 225, 890, 682, 272, 133

1. What is the LCM of 448, 545, 556, 114, 566?

Answer: LCM of 448, 545, 556, 114, 566 is 547457749440.

2. How to calculate the LCM of 448, 545, 556, 114, 566?

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 448, 545, 556, 114, 566.

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}.