Given numbers are 428,652,577,729,592

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

The LCM of 428,652,577,729,592 is 4343066010576.

Find LCM of 428,652,577,729,592 with Prime Factorization

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

2 x 2 x 107 x 163 x 577 x 729 x 148 = 4343066010576

Therefore, the lowest common multiple of 428,652,577,729,592 is 4343066010576.

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 652 x 577 x 729 x 592 = 69489056169216

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

652 : 1, 2, 4, 163, 326, 652

577 : 1, 577

729 : 1, 3, 9, 27, 81, 243, 729

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,652,577,729,592, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

652:2x 2x 163

577:577

729:3x 3x 3x 3x 3x 3

592:2x 2x 2x 2x 37

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 2 = 16

Therefore, the value for common factors is 16.

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 = 69489056169216/(1x16)

LCM = 69489056169216/16

LCM = 4343066010576

Thus, we can understand that the LCM of 428,652,577,729,592 is 4343066010576.

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

• LCM of 388, 190, 196, 723, 427
• LCM of 930, 460, 769, 947, 582
• LCM of 375, 480, 237, 802, 979
• LCM of 735, 927, 246, 543, 681
• LCM of 422, 158, 254, 505, 121

1. What is the LCM of 428, 652, 577, 729, 592?

Answer: LCM of 428, 652, 577, 729, 592 is 4343066010576.

2. How to calculate the LCM of 428, 652, 577, 729, 592?

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, 652, 577, 729, 592.

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}.