Given numbers are 828,674,718

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

The LCM of 828,674,718 is 100173924.

Find LCM of 828,674,718 with Prime Factorization

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

2 x 414 x 337 x 359 = 100173924

Therefore, the lowest common multiple of 828,674,718 is 100173924.

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 674 x 718 = 400695696

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

674 : 1, 2, 337, 674

718 : 1, 2, 359, 718

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,674,718, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

674:2x 337

718:2x 359

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

2 = 2

Therefore, the value for common factors is 2.

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 = 400695696/(2x2)

LCM = 400695696/4

LCM = 100173924

Thus, we can understand that the LCM of 828,674,718 is 100173924.

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

• LCM of 123, 406, 226
• LCM of 649, 905, 437
• LCM of 960, 645, 301
• LCM of 939, 466, 834
• LCM of 794, 910, 364

1. What is the LCM of 828, 674, 718?

Answer: LCM of 828, 674, 718 is 100173924.

2. How to calculate the LCM of 828, 674, 718?

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, 674, 718.

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}.