Given numbers are 395,692,813,824

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

The LCM of 395,692,813,824 is 45778436520.

Find LCM of 395,692,813,824 with Prime Factorization

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

2 x 2 x 395 x 173 x 813 x 206 = 45778436520

Therefore, the lowest common multiple of 395,692,813,824 is 45778436520.

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.

395 x 692 x 813 x 824 = 183113746080

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.

395 : 1, 5, 79, 395

692 : 1, 2, 4, 173, 346, 692

813 : 1, 3, 271, 813

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,692,813,824, is 1.

Now, the common factors can be found like this.

395:5x 79

692:2x 2x 173

813:3x 271

824:2x 2x 2x 103

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 183113746080/(1x4)

LCM = 183113746080/4

LCM = 45778436520

Thus, we can understand that the LCM of 395,692,813,824 is 45778436520.

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

• LCM of 663, 524, 158, 658
• LCM of 661, 774, 820, 353
• LCM of 520, 313, 429, 112
• LCM of 906, 165, 602, 841
• LCM of 152, 326, 569, 635

1. What is the LCM of 395, 692, 813, 824?

Answer: LCM of 395, 692, 813, 824 is 45778436520.

2. How to calculate the LCM of 395, 692, 813, 824?

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 395, 692, 813, 824.

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}.