Given numbers are 828,509,681

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

The LCM of 828,509,681 is 95669604.

Find LCM of 828,509,681 with Prime Factorization

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

3 x 276 x 509 x 227 = 95669604

Therefore, the lowest common multiple of 828,509,681 is 95669604.

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 509 x 681 = 287008812

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

509 : 1, 509

681 : 1, 3, 227, 681

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,509,681, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

509:509

681:3x 227

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

3 = 3

Therefore, the value for common factors is 3.

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 = 287008812/(1x3)

LCM = 287008812/3

LCM = 95669604

Thus, we can understand that the LCM of 828,509,681 is 95669604.

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

• LCM of 349, 460, 988
• LCM of 901, 574, 258
• LCM of 200, 608, 299
• LCM of 667, 992, 658
• LCM of 914, 824, 155

1. What is the LCM of 828, 509, 681?

Answer: LCM of 828, 509, 681 is 95669604.

2. How to calculate the LCM of 828, 509, 681?

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, 509, 681.

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}.