Given numbers are 325,277,214,280,770

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

The LCM of 325,277,214,280,770 is 5933727800.

Find LCM of 325,277,214,280,770 with Prime Factorization

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

2 x 5 x 7 x 65 x 277 x 107 x 4 x 11 = 5933727800

Therefore, the lowest common multiple of 325,277,214,280,770 is 5933727800.

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.

325 x 277 x 214 x 280 x 770 = 4153609460000

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.

325 : 1, 5, 13, 25, 65, 325

277 : 1, 277

214 : 1, 2, 107, 214

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,277,214,280,770, is 1.

Now, the common factors can be found like this.

325:5x 5x 13

277:277

214:2x 107

280:2x 2x 2x 5x 7

770:2x 5x 7x 11

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 5x 5x 7 = 700

Therefore, the value for common factors is 700.

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 = 4153609460000/(1x700)

LCM = 4153609460000/700

LCM = 5933727800

Thus, we can understand that the LCM of 325,277,214,280,770 is 5933727800.

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

• LCM of 575, 902, 575, 700, 440
• LCM of 800, 726, 751, 441, 789
• LCM of 701, 298, 670, 871, 218
• LCM of 773, 809, 877, 743, 302
• LCM of 548, 957, 539, 960, 408

1. What is the LCM of 325, 277, 214, 280, 770?

Answer: LCM of 325, 277, 214, 280, 770 is 5933727800.

2. How to calculate the LCM of 325, 277, 214, 280, 770?

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 325, 277, 214, 280, 770.

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}.