Given numbers are 828,715,708,767,696

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

The LCM of 828,715,708,767,696 is 2025892440.

Find LCM of 828,715,708,767,696 with Prime Factorization

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

2 x 2 x 3 x 13 x 59 x 69 x 55 x 1 x 1 x 58 = 2025892440

Therefore, the lowest common multiple of 828,715,708,767,696 is 2025892440.

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 715 x 708 x 767 x 696 = 223755768213120

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

767 : 1, 13, 59, 767

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,715,708,767,696, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

715:5x 11x 13

708:2x 2x 3x 59

767:13x 59

696:2x 2x 2x 3x 29

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 3x 3x 13x 59 = 110448

Therefore, the value for common factors is 110448.

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 = 223755768213120/(1x110448)

LCM = 223755768213120/110448

LCM = 2025892440

Thus, we can understand that the LCM of 828,715,708,767,696 is 2025892440.

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

• LCM of 870, 266, 577, 418, 183
• LCM of 373, 390, 277, 374, 825
• LCM of 229, 900, 151, 445, 240
• LCM of 290, 894, 824, 605, 550
• LCM of 375, 923, 349, 565, 332

1. What is the LCM of 828, 715, 708, 767, 696?

Answer: LCM of 828, 715, 708, 767, 696 is 2025892440.

2. How to calculate the LCM of 828, 715, 708, 767, 696?

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, 715, 708, 767, 696.

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}.