Given numbers are 522,301,464,974

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

The LCM of 522,301,464,974 is 612147312.

Find LCM of 522,301,464,974 with Prime Factorization

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

2 x 29 x 9 x 301 x 8 x 487 = 612147312

Therefore, the lowest common multiple of 522,301,464,974 is 612147312.

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.

522 x 301 x 464 x 974 = 71009088192

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

301 : 1, 7, 43, 301

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

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,301,464,974, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

301:7x 43

464:2x 2x 2x 2x 29

974:2x 487

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 29 = 116

Therefore, the value for common factors is 116.

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 = 71009088192/(1x116)

LCM = 71009088192/116

LCM = 612147312

Thus, we can understand that the LCM of 522,301,464,974 is 612147312.

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

• LCM of 913, 167, 916, 912
• LCM of 802, 191, 178, 515
• LCM of 989, 934, 827, 896
• LCM of 918, 919, 264, 783
• LCM of 359, 568, 401, 880

1. What is the LCM of 522, 301, 464, 974?

Answer: LCM of 522, 301, 464, 974 is 612147312.

2. How to calculate the LCM of 522, 301, 464, 974?

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 522, 301, 464, 974.

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}.