Given numbers are 579,972,285,966

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

The LCM of 579,972,285,966 is 2869280820.

Find LCM of 579,972,285,966 with Prime Factorization

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

2 x 3 x 193 x 162 x 95 x 161 = 2869280820

Therefore, the lowest common multiple of 579,972,285,966 is 2869280820.

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.

579 x 972 x 285 x 966 = 154941164280

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.

579 : 1, 3, 193, 579

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

285 : 1, 3, 5, 15, 19, 57, 95, 285

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,972,285,966, is 3.

Now, the common factors can be found like this.

579:3x 193

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

285:3x 5x 19

966:2x 3x 7x 23

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 154941164280/(3x18)

LCM = 154941164280/54

LCM = 2869280820

Thus, we can understand that the LCM of 579,972,285,966 is 2869280820.

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

• LCM of 145, 653, 925, 952
• LCM of 289, 161, 176, 316
• LCM of 139, 962, 535, 776
• LCM of 228, 441, 821, 870
• LCM of 598, 923, 604, 487

1. What is the LCM of 579, 972, 285, 966?

Answer: LCM of 579, 972, 285, 966 is 2869280820.

2. How to calculate the LCM of 579, 972, 285, 966?

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 579, 972, 285, 966.

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}.