Given numbers are 828,475,874,860,744

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

The LCM of 828,475,874,860,744 is 1048537800.

Find LCM of 828,475,874,860,744 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 23 x 3 x 5 x 1 x 43 x 62 = 1048537800

Therefore, the lowest common multiple of 828,475,874,860,744 is 1048537800.

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 475 x 874 x 860 x 744 = 219941288928000

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

475 : 1, 5, 19, 25, 95, 475

874 : 1, 2, 19, 23, 38, 46, 437, 874

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,475,874,860,744, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

475:5x 5x 19

874:2x 19x 23

860:2x 2x 5x 43

744:2x 2x 2x 3x 31

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 5x 19x 23 = 209760

Therefore, the value for common factors is 209760.

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 = 219941288928000/(1x209760)

LCM = 219941288928000/209760

LCM = 1048537800

Thus, we can understand that the LCM of 828,475,874,860,744 is 1048537800.

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

• LCM of 247, 425, 669, 526, 152
• LCM of 774, 171, 290, 856, 473
• LCM of 659, 990, 721, 271, 563
• LCM of 694, 131, 469, 240, 501
• LCM of 287, 102, 352, 921, 621

1. What is the LCM of 828, 475, 874, 860, 744?

Answer: LCM of 828, 475, 874, 860, 744 is 1048537800.

2. How to calculate the LCM of 828, 475, 874, 860, 744?

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, 475, 874, 860, 744.

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}.