Given numbers are 465,406,566,542

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

The LCM of 465,406,566,542 is 14478871470.

Find LCM of 465,406,566,542 with Prime Factorization

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

2 x 465 x 203 x 283 x 271 = 14478871470

Therefore, the lowest common multiple of 465,406,566,542 is 14478871470.

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.

465 x 406 x 566 x 542 = 57915485880

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

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

566 : 1, 2, 283, 566

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,406,566,542, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

406:2x 7x 29

566:2x 283

542:2x 271

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 57915485880/(1x4)

LCM = 57915485880/4

LCM = 14478871470

Thus, we can understand that the LCM of 465,406,566,542 is 14478871470.

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

• LCM of 563, 389, 587, 376
• LCM of 834, 151, 769, 170
• LCM of 908, 335, 946, 999
• LCM of 922, 428, 642, 738
• LCM of 917, 814, 710, 319

1. What is the LCM of 465, 406, 566, 542?

Answer: LCM of 465, 406, 566, 542 is 14478871470.

2. How to calculate the LCM of 465, 406, 566, 542?

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 465, 406, 566, 542.

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}.