Given numbers are 523,312,170,404

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

The LCM of 523,312,170,404 is 1400865960.

Find LCM of 523,312,170,404 with Prime Factorization

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

2 x 2 x 523 x 78 x 85 x 101 = 1400865960

Therefore, the lowest common multiple of 523,312,170,404 is 1400865960.

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 312 x 170 x 404 = 11206927680

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

170 : 1, 2, 5, 10, 17, 34, 85, 170

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,312,170,404, is 1.

Now, the common factors can be found like this.

523:523

312:2x 2x 2x 3x 13

170:2x 5x 17

404:2x 2x 101

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 2 = 8

Therefore, the value for common factors is 8.

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 = 11206927680/(1x8)

LCM = 11206927680/8

LCM = 1400865960

Thus, we can understand that the LCM of 523,312,170,404 is 1400865960.

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

• LCM of 192, 260, 353, 105
• LCM of 941, 775, 866, 117
• LCM of 297, 591, 955, 662
• LCM of 394, 363, 878, 281
• LCM of 402, 495, 140, 288

1. What is the LCM of 523, 312, 170, 404?

Answer: LCM of 523, 312, 170, 404 is 1400865960.

2. How to calculate the LCM of 523, 312, 170, 404?

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, 312, 170, 404.

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}.