Given numbers are 828,937,585,624,982

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

The LCM of 828,937,585,624,982 is 99043223760.

Find LCM of 828,937,585,624,982 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 23 x 937 x 5 x 4 x 491 = 99043223760

Therefore, the lowest common multiple of 828,937,585,624,982 is 99043223760.

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 937 x 585 x 624 x 982 = 278113372318080

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

937 : 1, 937

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,937,585,624,982, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

937:937

585:3x 3x 5x 13

624:2x 2x 2x 2x 3x 13

982:2x 491

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 3x 3x 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 278113372318080/(1x2808)

LCM = 278113372318080/2808

LCM = 99043223760

Thus, we can understand that the LCM of 828,937,585,624,982 is 99043223760.

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

• LCM of 843, 245, 191, 799, 565
• LCM of 623, 172, 460, 412, 902
• LCM of 738, 494, 165, 674, 723
• LCM of 196, 715, 906, 186, 171
• LCM of 979, 150, 318, 426, 409

1. What is the LCM of 828, 937, 585, 624, 982?

Answer: LCM of 828, 937, 585, 624, 982 is 99043223760.

2. How to calculate the LCM of 828, 937, 585, 624, 982?

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, 937, 585, 624, 982.

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}.