Given numbers are 523,396,171,540

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

The LCM of 523,396,171,540 is 59025780.

Find LCM of 523,396,171,540 with Prime Factorization

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

2 x 2 x 3 x 3 x 523 x 11 x 19 x 15 = 59025780

Therefore, the lowest common multiple of 523,396,171,540 is 59025780.

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.

523 x 396 x 171 x 540 = 19124352720

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.

523 : 1, 523

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

171 : 1, 3, 9, 19, 57, 171

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,396,171,540, is 1.

Now, the common factors can be found like this.

523:523

396:2x 2x 3x 3x 11

171:3x 3x 19

540:2x 2x 3x 3x 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 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 19124352720/(1x324)

LCM = 19124352720/324

LCM = 59025780

Thus, we can understand that the LCM of 523,396,171,540 is 59025780.

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

• LCM of 947, 227, 345, 553
• LCM of 965, 979, 380, 268
• LCM of 391, 402, 190, 235
• LCM of 470, 340, 367, 397
• LCM of 287, 678, 683, 570

1. What is the LCM of 523, 396, 171, 540?

Answer: LCM of 523, 396, 171, 540 is 59025780.

2. How to calculate the LCM of 523, 396, 171, 540?

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 523, 396, 171, 540.

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}.