Given numbers are 428,608,125,149,760

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

The LCM of 428,608,125,149,760 is 1211668000.

Find LCM of 428,608,125,149,760 with Prime Factorization

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

2 x 2 x 2 x 5 x 19 x 107 x 4 x 25 x 149 x 1 = 1211668000

Therefore, the lowest common multiple of 428,608,125,149,760 is 1211668000.

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.

428 x 608 x 125 x 149 x 760 = 3683470720000

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.

428 : 1, 2, 4, 107, 214, 428

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

125 : 1, 5, 25, 125

149 : 1, 149

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,608,125,149,760, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

608:2x 2x 2x 2x 2x 19

125:5x 5x 5

149:149

760:2x 2x 2x 5x 19

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 2x 5x 19 = 3040

Therefore, the value for common factors is 3040.

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 = 3683470720000/(1x3040)

LCM = 3683470720000/3040

LCM = 1211668000

Thus, we can understand that the LCM of 428,608,125,149,760 is 1211668000.

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

• LCM of 454, 884, 494, 604, 221
• LCM of 876, 861, 227, 486, 466
• LCM of 705, 139, 869, 277, 650
• LCM of 552, 169, 940, 315, 202
• LCM of 398, 197, 242, 832, 167

1. What is the LCM of 428, 608, 125, 149, 760?

Answer: LCM of 428, 608, 125, 149, 760 is 1211668000.

2. How to calculate the LCM of 428, 608, 125, 149, 760?

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 428, 608, 125, 149, 760.

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}.