Given numbers are 974,816,115,323

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

The LCM of 974,816,115,323 is 868301520.

Find LCM of 974,816,115,323 with Prime Factorization

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

2 x 17 x 487 x 24 x 115 x 19 = 868301520

Therefore, the lowest common multiple of 974,816,115,323 is 868301520.

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.

974 x 816 x 115 x 323 = 29522251680

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.

974 : 1, 2, 487, 974

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

115 : 1, 5, 23, 115

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,816,115,323, is 1.

Now, the common factors can be found like this.

974:2x 487

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

115:5x 23

323:17x 19

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 29522251680/(1x34)

LCM = 29522251680/34

LCM = 868301520

Thus, we can understand that the LCM of 974,816,115,323 is 868301520.

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

• LCM of 518, 970, 325, 760
• LCM of 992, 941, 345, 231
• LCM of 652, 600, 891, 305
• LCM of 560, 973, 103, 644
• LCM of 408, 954, 822, 471

1. What is the LCM of 974, 816, 115, 323?

Answer: LCM of 974, 816, 115, 323 is 868301520.

2. How to calculate the LCM of 974, 816, 115, 323?

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 974, 816, 115, 323.

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}.