Given numbers are 809,840,340,207,552

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

The LCM of 809,840,340,207,552 is 797123880.

Find LCM of 809,840,340,207,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 809 x 7 x 17 x 1 x 3 = 797123880

Therefore, the lowest common multiple of 809,840,340,207,552 is 797123880.

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.

809 x 840 x 340 x 207 x 552 = 26400742905600

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.

809 : 1, 809

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

207 : 1, 3, 9, 23, 69, 207

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,840,340,207,552, is 1.

Now, the common factors can be found like this.

809:809

840:2x 2x 2x 3x 5x 7

340:2x 2x 5x 17

207:3x 3x 23

552:2x 2x 2x 3x 23

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 3x 3x 5x 23 = 33120

Therefore, the value for common factors is 33120.

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 = 26400742905600/(1x33120)

LCM = 26400742905600/33120

LCM = 797123880

Thus, we can understand that the LCM of 809,840,340,207,552 is 797123880.

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

• LCM of 817, 515, 254, 703, 843
• LCM of 465, 545, 870, 170, 726
• LCM of 691, 796, 739, 929, 918
• LCM of 292, 690, 800, 211, 282
• LCM of 992, 987, 553, 566, 199

1. What is the LCM of 809, 840, 340, 207, 552?

Answer: LCM of 809, 840, 340, 207, 552 is 797123880.

2. How to calculate the LCM of 809, 840, 340, 207, 552?

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 809, 840, 340, 207, 552.

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}.