Given numbers are 682,940,816,450,732

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

The LCM of 682,940,816,450,732 is 59831996400.

Find LCM of 682,940,816,450,732 with Prime Factorization

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

2 x 2 x 3 x 5 x 341 x 47 x 68 x 15 x 61 = 59831996400

Therefore, the lowest common multiple of 682,940,816,450,732 is 59831996400.

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.

682 x 940 x 816 x 450 x 732 = 172316149632000

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,940,816,450,732, is 2.

Now, the common factors can be found like this.

682:2x 11x 31

940:2x 2x 5x 47

816:2x 2x 2x 2x 3x 17

450:2x 3x 3x 5x 5

732:2x 2x 3x 61

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 2x 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 172316149632000/(2x1440)

LCM = 172316149632000/2880

LCM = 59831996400

Thus, we can understand that the LCM of 682,940,816,450,732 is 59831996400.

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

• LCM of 538, 156, 980, 519, 356
• LCM of 102, 563, 214, 256, 789
• LCM of 998, 131, 530, 291, 412
• LCM of 385, 339, 436, 552, 795
• LCM of 760, 405, 303, 929, 849

1. What is the LCM of 682, 940, 816, 450, 732?

Answer: LCM of 682, 940, 816, 450, 732 is 59831996400.

2. How to calculate the LCM of 682, 940, 816, 450, 732?

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 682, 940, 816, 450, 732.

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}.