Given numbers are 592,174,422,598,972

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

The LCM of 592,174,422,598,972 is 263196204336.

Find LCM of 592,174,422,598,972 with Prime Factorization

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

2 x 2 x 3 x 148 x 29 x 211 x 299 x 81 = 263196204336

Therefore, the lowest common multiple of 592,174,422,598,972 is 263196204336.

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.

592 x 174 x 422 x 598 x 972 = 25266835616256

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

174 : 1, 2, 3, 6, 29, 58, 87, 174

422 : 1, 2, 211, 422

598 : 1, 2, 13, 23, 26, 46, 299, 598

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,174,422,598,972, is 2.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

174:2x 3x 29

422:2x 211

598:2x 13x 23

972:2x 2x 3x 3x 3x 3x 3

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 3 = 48

Therefore, the value for common factors is 48.

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 = 25266835616256/(2x48)

LCM = 25266835616256/96

LCM = 263196204336

Thus, we can understand that the LCM of 592,174,422,598,972 is 263196204336.

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

• LCM of 419, 711, 334, 159, 785
• LCM of 792, 201, 732, 699, 720
• LCM of 395, 961, 561, 804, 908
• LCM of 779, 354, 513, 929, 825
• LCM of 242, 169, 429, 899, 968

1. What is the LCM of 592, 174, 422, 598, 972?

Answer: LCM of 592, 174, 422, 598, 972 is 263196204336.

2. How to calculate the LCM of 592, 174, 422, 598, 972?

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 592, 174, 422, 598, 972.

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}.