Given numbers are 326,475,268,540,635

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

The LCM of 326,475,268,540,635 is 71151407100.

Find LCM of 326,475,268,540,635 with Prime Factorization

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

2 x 2 x 5 x 163 x 95 x 67 x 27 x 127 = 71151407100

Therefore, the lowest common multiple of 326,475,268,540,635 is 71151407100.

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 475 x 268 x 540 x 635 = 14230281420000

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

475 : 1, 5, 19, 25, 95, 475

268 : 1, 2, 4, 67, 134, 268

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,475,268,540,635, is 1.

Now, the common factors can be found like this.

326:2x 163

475:5x 5x 19

268:2x 2x 67

540:2x 2x 3x 3x 3x 5

635:5x 127

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 14230281420000/(1x200)

LCM = 14230281420000/200

LCM = 71151407100

Thus, we can understand that the LCM of 326,475,268,540,635 is 71151407100.

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

• LCM of 920, 778, 638, 433, 345
• LCM of 435, 305, 401, 412, 957
• LCM of 953, 545, 442, 486, 565
• LCM of 642, 233, 507, 154, 572
• LCM of 820, 342, 332, 790, 399

1. What is the LCM of 326, 475, 268, 540, 635?

Answer: LCM of 326, 475, 268, 540, 635 is 71151407100.

2. How to calculate the LCM of 326, 475, 268, 540, 635?

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, 475, 268, 540, 635.

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}.