Given numbers are 428,702,592,560,424

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

The LCM of 428,702,592,560,424 is 41243595120.

Find LCM of 428,702,592,560,424 with Prime Factorization

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

2 x 2 x 2 x 2 x 107 x 351 x 37 x 35 x 53 = 41243595120

Therefore, the lowest common multiple of 428,702,592,560,424 is 41243595120.

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 702 x 592 x 560 x 424 = 42233441402880

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

424 : 1, 2, 4, 8, 53, 106, 212, 424

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,702,592,560,424, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

702:2x 3x 3x 3x 13

592:2x 2x 2x 2x 37

560:2x 2x 2x 2x 5x 7

424:2x 2x 2x 53

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 2x 2x 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 42233441402880/(2x512)

LCM = 42233441402880/1024

LCM = 41243595120

Thus, we can understand that the LCM of 428,702,592,560,424 is 41243595120.

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

• LCM of 480, 737, 986, 189, 712
• LCM of 440, 545, 616, 492, 594
• LCM of 627, 964, 620, 707, 660
• LCM of 907, 687, 449, 373, 505
• LCM of 963, 857, 138, 914, 910

1. What is the LCM of 428, 702, 592, 560, 424?

Answer: LCM of 428, 702, 592, 560, 424 is 41243595120.

2. How to calculate the LCM of 428, 702, 592, 560, 424?

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, 702, 592, 560, 424.

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}.