Given numbers are 406,208,487,428

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

The LCM of 406,208,487,428 is 2200250416.

Find LCM of 406,208,487,428 with Prime Factorization

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

2 x 2 x 203 x 52 x 487 x 107 = 2200250416

Therefore, the lowest common multiple of 406,208,487,428 is 2200250416.

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.

406 x 208 x 487 x 428 = 17602003328

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

487 : 1, 487

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,208,487,428, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

208:2x 2x 2x 2x 13

487:487

428:2x 2x 107

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 2 = 8

Therefore, the value for common factors is 8.

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 = 17602003328/(1x8)

LCM = 17602003328/8

LCM = 2200250416

Thus, we can understand that the LCM of 406,208,487,428 is 2200250416.

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

• LCM of 177, 608, 481, 537
• LCM of 619, 644, 846, 209
• LCM of 243, 946, 445, 640
• LCM of 982, 196, 491, 132
• LCM of 957, 446, 176, 937

1. What is the LCM of 406, 208, 487, 428?

Answer: LCM of 406, 208, 487, 428 is 2200250416.

2. How to calculate the LCM of 406, 208, 487, 428?

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 406, 208, 487, 428.

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}.