Given numbers are 326,486,258,960

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

The LCM of 326,486,258,960 is 545019840.

Find LCM of 326,486,258,960 with Prime Factorization

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

2 x 3 x 163 x 81 x 43 x 160 = 545019840

Therefore, the lowest common multiple of 326,486,258,960 is 545019840.

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 486 x 258 x 960 = 39241428480

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

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

258 : 1, 2, 3, 6, 43, 86, 129, 258

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,486,258,960, is 2.

Now, the common factors can be found like this.

326:2x 163

486:2x 3x 3x 3x 3x 3

258:2x 3x 43

960:2x 2x 2x 2x 2x 2x 3x 5

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 39241428480/(2x36)

LCM = 39241428480/72

LCM = 545019840

Thus, we can understand that the LCM of 326,486,258,960 is 545019840.

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

• LCM of 859, 739, 444, 573
• LCM of 740, 786, 425, 258
• LCM of 721, 956, 334, 722
• LCM of 766, 776, 749, 736
• LCM of 365, 485, 229, 935

1. What is the LCM of 326, 486, 258, 960?

Answer: LCM of 326, 486, 258, 960 is 545019840.

2. How to calculate the LCM of 326, 486, 258, 960?

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, 486, 258, 960.

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}.