Given numbers are 526,208,389,312

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

The LCM of 526,208,389,312 is 63839568.

Find LCM of 526,208,389,312 with Prime Factorization

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

2 x 2 x 2 x 13 x 263 x 2 x 389 x 3 = 63839568

Therefore, the lowest common multiple of 526,208,389,312 is 63839568.

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.

526 x 208 x 389 x 312 = 13278630144

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.

526 : 1, 2, 263, 526

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

389 : 1, 389

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,208,389,312, is 1.

Now, the common factors can be found like this.

526:2x 263

208:2x 2x 2x 2x 13

389:389

312:2x 2x 2x 3x 13

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 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 13278630144/(1x208)

LCM = 13278630144/208

LCM = 63839568

Thus, we can understand that the LCM of 526,208,389,312 is 63839568.

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

• LCM of 600, 277, 513, 705
• LCM of 197, 831, 622, 148
• LCM of 570, 767, 800, 392
• LCM of 936, 522, 901, 120
• LCM of 387, 144, 543, 189

1. What is the LCM of 526, 208, 389, 312?

Answer: LCM of 526, 208, 389, 312 is 63839568.

2. How to calculate the LCM of 526, 208, 389, 312?

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 526, 208, 389, 312.

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}.