Given numbers are 468,270,539,867

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

The LCM of 468,270,539,867 is 1093512420.

Find LCM of 468,270,539,867 with Prime Factorization

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

2 x 3 x 3 x 26 x 15 x 539 x 289 = 1093512420

Therefore, the lowest common multiple of 468,270,539,867 is 1093512420.

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.

468 x 270 x 539 x 867 = 59049670680

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

539 : 1, 7, 11, 49, 77, 539

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,270,539,867, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

270:2x 3x 3x 3x 5

539:7x 7x 11

867:3x 17x 17

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 = 59049670680/(1x54)

LCM = 59049670680/54

LCM = 1093512420

Thus, we can understand that the LCM of 468,270,539,867 is 1093512420.

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

• LCM of 604, 622, 945, 761
• LCM of 519, 777, 900, 932
• LCM of 251, 196, 311, 611
• LCM of 935, 718, 687, 172
• LCM of 870, 749, 829, 426

1. What is the LCM of 468, 270, 539, 867?

Answer: LCM of 468, 270, 539, 867 is 1093512420.

2. How to calculate the LCM of 468, 270, 539, 867?

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 468, 270, 539, 867.

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}.