Given numbers are 746,284,305,755

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

The LCM of 746,284,305,755 is 4878698260.

Find LCM of 746,284,305,755 with Prime Factorization

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

2 x 5 x 373 x 142 x 61 x 151 = 4878698260

Therefore, the lowest common multiple of 746,284,305,755 is 4878698260.

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.

746 x 284 x 305 x 755 = 48786982600

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.

746 : 1, 2, 373, 746

284 : 1, 2, 4, 71, 142, 284

305 : 1, 5, 61, 305

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,284,305,755, is 1.

Now, the common factors can be found like this.

746:2x 373

284:2x 2x 71

305:5x 61

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.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 48786982600/(1x10)

LCM = 48786982600/10

LCM = 4878698260

Thus, we can understand that the LCM of 746,284,305,755 is 4878698260.

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

• LCM of 644, 205, 598, 331
• LCM of 260, 667, 217, 757
• LCM of 615, 316, 518, 166
• LCM of 881, 194, 300, 662
• LCM of 153, 372, 866, 767

1. What is the LCM of 746, 284, 305, 755?

Answer: LCM of 746, 284, 305, 755 is 4878698260.

2. How to calculate the LCM of 746, 284, 305, 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 746, 284, 305, 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}.