Given numbers are 213,646,828,754,110

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

The LCM of 213,646,828,754,110 is 393727045140.

Find LCM of 213,646,828,754,110 with Prime Factorization

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

2 x 3 x 71 x 323 x 138 x 377 x 55 = 393727045140

Therefore, the lowest common multiple of 213,646,828,754,110 is 393727045140.

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.

213 x 646 x 828 x 754 x 110 = 9449449083360

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.

213 : 1, 3, 71, 213

646 : 1, 2, 17, 19, 34, 38, 323, 646

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

754 : 1, 2, 13, 26, 29, 58, 377, 754

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,646,828,754,110, is 1.

Now, the common factors can be found like this.

213:3x 71

646:2x 17x 19

828:2x 2x 3x 3x 23

754:2x 13x 29

110:2x 5x 11

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9449449083360/(1x24)

LCM = 9449449083360/24

LCM = 393727045140

Thus, we can understand that the LCM of 213,646,828,754,110 is 393727045140.

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

• LCM of 181, 964, 161, 513, 614
• LCM of 686, 362, 839, 752, 734
• LCM of 610, 561, 613, 133, 535
• LCM of 230, 250, 897, 993, 174
• LCM of 469, 484, 193, 542, 590

1. What is the LCM of 213, 646, 828, 754, 110?

Answer: LCM of 213, 646, 828, 754, 110 is 393727045140.

2. How to calculate the LCM of 213, 646, 828, 754, 110?

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 213, 646, 828, 754, 110.

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}.