Given numbers are 816,354,824,464

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

The LCM of 816,354,824,464 is 143806128.

Find LCM of 816,354,824,464 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 59 x 103 x 29 = 143806128

Therefore, the lowest common multiple of 816,354,824,464 is 143806128.

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.

816 x 354 x 824 x 464 = 110443106304

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

354 : 1, 2, 3, 6, 59, 118, 177, 354

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,354,824,464, is 2.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

354:2x 3x 59

824:2x 2x 2x 103

464:2x 2x 2x 2x 29

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

2x 2x 2x 2x 2x 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 110443106304/(2x384)

LCM = 110443106304/768

LCM = 143806128

Thus, we can understand that the LCM of 816,354,824,464 is 143806128.

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

• LCM of 675, 396, 839, 258
• LCM of 965, 806, 939, 470
• LCM of 245, 976, 911, 957
• LCM of 680, 899, 604, 688
• LCM of 772, 300, 353, 613

1. What is the LCM of 816, 354, 824, 464?

Answer: LCM of 816, 354, 824, 464 is 143806128.

2. How to calculate the LCM of 816, 354, 824, 464?

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 816, 354, 824, 464.

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}.