Given numbers are 828,740,920,332,286

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

The LCM of 828,740,920,332,286 is 3636186840.

Find LCM of 828,740,920,332,286 with Prime Factorization

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

2 x 2 x 5 x 23 x 9 x 37 x 2 x 83 x 143 = 3636186840

Therefore, the lowest common multiple of 828,740,920,332,286 is 3636186840.

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 740 x 920 x 332 x 286 = 53524670284800

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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

332 : 1, 2, 4, 83, 166, 332

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,740,920,332,286, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

740:2x 2x 5x 37

920:2x 2x 2x 5x 23

332:2x 2x 83

286:2x 11x 13

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 5x 23 = 7360

Therefore, the value for common factors is 7360.

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 = 53524670284800/(2x7360)

LCM = 53524670284800/14720

LCM = 3636186840

Thus, we can understand that the LCM of 828,740,920,332,286 is 3636186840.

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

• LCM of 407, 586, 892, 298, 948
• LCM of 215, 644, 559, 953, 875
• LCM of 931, 987, 266, 312, 653
• LCM of 636, 218, 668, 170, 856
• LCM of 342, 873, 735, 744, 995

1. What is the LCM of 828, 740, 920, 332, 286?

Answer: LCM of 828, 740, 920, 332, 286 is 3636186840.

2. How to calculate the LCM of 828, 740, 920, 332, 286?

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, 740, 920, 332, 286.

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}.