Given numbers are 771,406,240,513,543

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

The LCM of 771,406,240,513,543 is 387538709040.

Find LCM of 771,406,240,513,543 with Prime Factorization

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

2 x 3 x 257 x 203 x 40 x 171 x 181 = 387538709040

Therefore, the lowest common multiple of 771,406,240,513,543 is 387538709040.

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.

771 x 406 x 240 x 513 x 543 = 20927090288160

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.

771 : 1, 3, 257, 771

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

513 : 1, 3, 9, 19, 27, 57, 171, 513

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,406,240,513,543, is 1.

Now, the common factors can be found like this.

771:3x 257

406:2x 7x 29

240:2x 2x 2x 2x 3x 5

513:3x 3x 3x 19

543:3x 181

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 20927090288160/(1x54)

LCM = 20927090288160/54

LCM = 387538709040

Thus, we can understand that the LCM of 771,406,240,513,543 is 387538709040.

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

• LCM of 304, 967, 546, 901, 229
• LCM of 463, 872, 431, 320, 113
• LCM of 371, 658, 996, 808, 678
• LCM of 942, 230, 944, 935, 835
• LCM of 751, 949, 809, 124, 324

1. What is the LCM of 771, 406, 240, 513, 543?

Answer: LCM of 771, 406, 240, 513, 543 is 387538709040.

2. How to calculate the LCM of 771, 406, 240, 513, 543?

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 771, 406, 240, 513, 543.

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}.