Given numbers are 828,34,397,705

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

The LCM of 828,34,397,705 is 1313220420.

Find LCM of 828,34,397,705 with Prime Factorization

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

2 x 3 x 138 x 17 x 397 x 235 = 1313220420

Therefore, the lowest common multiple of 828,34,397,705 is 1313220420.

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 34 x 397 x 705 = 7879322520

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

34 : 1, 2, 17, 34

397 : 1, 397

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,34,397,705, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

34:2x 17

397:397

705:3x 5x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 7879322520/(1x6)

LCM = 7879322520/6

LCM = 1313220420

Thus, we can understand that the LCM of 828,34,397,705 is 1313220420.

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

• LCM of 999, 82, 368, 401
• LCM of 218, 97, 718, 386
• LCM of 825, 73, 259, 429
• LCM of 212, 33, 358, 870
• LCM of 398, 57, 601, 465

1. What is the LCM of 828, 34, 397, 705?

Answer: LCM of 828, 34, 397, 705 is 1313220420.

2. How to calculate the LCM of 828, 34, 397, 705?

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, 34, 397, 705.

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}.