Given numbers are 828,391,709

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

The LCM of 828,391,709 is 9979884.

Find LCM of 828,391,709 with Prime Factorization

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

23 x 36 x 17 x 709 = 9979884

Therefore, the lowest common multiple of 828,391,709 is 9979884.

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 391 x 709 = 229537332

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

391 : 1, 17, 23, 391

709 : 1, 709

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,391,709, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

391:17x 23

709:709

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

23 = 23

Therefore, the value for common factors is 23.

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 = 229537332/(1x23)

LCM = 229537332/23

LCM = 9979884

Thus, we can understand that the LCM of 828,391,709 is 9979884.

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

• LCM of 595, 920, 210
• LCM of 392, 921, 763
• LCM of 452, 707, 800
• LCM of 262, 553, 270
• LCM of 666, 848, 135

1. What is the LCM of 828, 391, 709?

Answer: LCM of 828, 391, 709 is 9979884.

2. How to calculate the LCM of 828, 391, 709?

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, 391, 709.

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}.