Given numbers are 828,806,718,104,367

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

The LCM of 828,806,718,104,367 is 87927736104.

Find LCM of 828,806,718,104,367 with Prime Factorization

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

2 x 2 x 13 x 207 x 31 x 359 x 2 x 367 = 87927736104

Therefore, the lowest common multiple of 828,806,718,104,367 is 87927736104.

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.

828 x 806 x 718 x 104 x 367 = 18288969109632

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.

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

718 : 1, 2, 359, 718

104 : 1, 2, 4, 8, 13, 26, 52, 104

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,806,718,104,367, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

806:2x 13x 31

718:2x 359

104:2x 2x 2x 13

367:367

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 13 = 208

Therefore, the value for common factors is 208.

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 = 18288969109632/(1x208)

LCM = 18288969109632/208

LCM = 87927736104

Thus, we can understand that the LCM of 828,806,718,104,367 is 87927736104.

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

• LCM of 929, 567, 792, 703, 588
• LCM of 219, 975, 941, 496, 854
• LCM of 296, 805, 238, 264, 496
• LCM of 472, 661, 499, 222, 851
• LCM of 439, 315, 535, 220, 566

1. What is the LCM of 828, 806, 718, 104, 367?

Answer: LCM of 828, 806, 718, 104, 367 is 87927736104.

2. How to calculate the LCM of 828, 806, 718, 104, 367?

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 828, 806, 718, 104, 367.

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}.