Given numbers are 326,117,477,504,816

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

The LCM of 326,117,477,504,816 is 1924492752.

Find LCM of 326,117,477,504,816 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 163 x 13 x 53 x 7 x 34 = 1924492752

Therefore, the lowest common multiple of 326,117,477,504,816 is 1924492752.

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.

326 x 117 x 477 x 504 x 816 = 7482427819776

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.

326 : 1, 2, 163, 326

117 : 1, 3, 9, 13, 39, 117

477 : 1, 3, 9, 53, 159, 477

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,117,477,504,816, is 1.

Now, the common factors can be found like this.

326:2x 163

117:3x 3x 13

477:3x 3x 53

504:2x 2x 2x 3x 3x 7

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

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 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 7482427819776/(1x3888)

LCM = 7482427819776/3888

LCM = 1924492752

Thus, we can understand that the LCM of 326,117,477,504,816 is 1924492752.

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

• LCM of 169, 859, 151, 493, 445
• LCM of 891, 212, 181, 261, 184
• LCM of 586, 711, 320, 832, 289
• LCM of 770, 410, 710, 207, 322
• LCM of 260, 128, 502, 735, 476

1. What is the LCM of 326, 117, 477, 504, 816?

Answer: LCM of 326, 117, 477, 504, 816 is 1924492752.

2. How to calculate the LCM of 326, 117, 477, 504, 816?

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 326, 117, 477, 504, 816.

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}.