Given numbers are 213,777,819,516,690

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

The LCM of 213,777,819,516,690 is 42556927140.

Find LCM of 213,777,819,516,690 with Prime Factorization

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

2 x 3 x 7 x 71 x 37 x 39 x 86 x 115 = 42556927140

Therefore, the lowest common multiple of 213,777,819,516,690 is 42556927140.

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 777 x 819 x 516 x 690 = 48259555376760

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

777 : 1, 3, 7, 21, 37, 111, 259, 777

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,777,819,516,690, is 3.

Now, the common factors can be found like this.

213:3x 71

777:3x 7x 37

819:3x 3x 7x 13

516:2x 2x 3x 43

690:2x 3x 5x 23

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 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 48259555376760/(3x378)

LCM = 48259555376760/1134

LCM = 42556927140

Thus, we can understand that the LCM of 213,777,819,516,690 is 42556927140.

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

• LCM of 692, 263, 375, 823, 837
• LCM of 900, 618, 217, 416, 117
• LCM of 640, 264, 287, 435, 981
• LCM of 828, 583, 658, 712, 968
• LCM of 935, 255, 482, 894, 101

1. What is the LCM of 213, 777, 819, 516, 690?

Answer: LCM of 213, 777, 819, 516, 690 is 42556927140.

2. How to calculate the LCM of 213, 777, 819, 516, 690?

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, 777, 819, 516, 690.

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}.