Given numbers are 562,920,368,644,741

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

The LCM of 562,920,368,644,741 is 2681886480.

Find LCM of 562,920,368,644,741 with Prime Factorization

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

2 x 2 x 2 x 23 x 281 x 5 x 2 x 7 x 741 = 2681886480

Therefore, the lowest common multiple of 562,920,368,644,741 is 2681886480.

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.

562 x 920 x 368 x 644 x 741 = 90797948666880

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.

562 : 1, 2, 281, 562

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,920,368,644,741, is 1.

Now, the common factors can be found like this.

562:2x 281

920:2x 2x 2x 5x 23

368:2x 2x 2x 2x 23

644:2x 2x 7x 23

741:3x 13x 19

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 23x 23 = 33856

Therefore, the value for common factors is 33856.

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 = 90797948666880/(1x33856)

LCM = 90797948666880/33856

LCM = 2681886480

Thus, we can understand that the LCM of 562,920,368,644,741 is 2681886480.

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

• LCM of 804, 412, 632, 542, 380
• LCM of 373, 418, 764, 946, 600
• LCM of 872, 685, 463, 614, 219
• LCM of 589, 773, 242, 634, 200
• LCM of 998, 735, 670, 477, 440

1. What is the LCM of 562, 920, 368, 644, 741?

Answer: LCM of 562, 920, 368, 644, 741 is 2681886480.

2. How to calculate the LCM of 562, 920, 368, 644, 741?

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 562, 920, 368, 644, 741.

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}.