Given numbers are 312,145,687,755

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

The LCM of 312,145,687,755 is 1564353960.

Find LCM of 312,145,687,755 with Prime Factorization

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

3 x 5 x 104 x 29 x 229 x 151 = 1564353960

Therefore, the lowest common multiple of 312,145,687,755 is 1564353960.

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.

312 x 145 x 687 x 755 = 23465309400

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.

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

145 : 1, 5, 29, 145

687 : 1, 3, 229, 687

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,145,687,755, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

145:5x 29

687:3x 229

755:5x 151

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 23465309400/(1x15)

LCM = 23465309400/15

LCM = 1564353960

Thus, we can understand that the LCM of 312,145,687,755 is 1564353960.

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

• LCM of 359, 229, 347, 499
• LCM of 311, 484, 723, 614
• LCM of 727, 595, 392, 211
• LCM of 396, 700, 830, 544
• LCM of 453, 499, 507, 670

1. What is the LCM of 312, 145, 687, 755?

Answer: LCM of 312, 145, 687, 755 is 1564353960.

2. How to calculate the LCM of 312, 145, 687, 755?

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 312, 145, 687, 755.

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}.