Given numbers are 535,935,689,782,680

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

The LCM of 535,935,689,782,680 is 12683304920.

Find LCM of 535,935,689,782,680 with Prime Factorization

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

2 x 5 x 17 x 107 x 11 x 689 x 23 x 4 = 12683304920

Therefore, the lowest common multiple of 535,935,689,782,680 is 12683304920.

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.

535 x 935 x 689 x 782 x 680 = 183273756094000

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.

535 : 1, 5, 107, 535

935 : 1, 5, 11, 17, 55, 85, 187, 935

689 : 1, 13, 53, 689

782 : 1, 2, 17, 23, 34, 46, 391, 782

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,935,689,782,680, is 1.

Now, the common factors can be found like this.

535:5x 107

935:5x 11x 17

689:13x 53

782:2x 17x 23

680:2x 2x 2x 5x 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 5x 5x 17x 17 = 14450

Therefore, the value for common factors is 14450.

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 = 183273756094000/(1x14450)

LCM = 183273756094000/14450

LCM = 12683304920

Thus, we can understand that the LCM of 535,935,689,782,680 is 12683304920.

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

• LCM of 211, 603, 544, 333, 371
• LCM of 801, 924, 412, 781, 622
• LCM of 690, 310, 232, 365, 391
• LCM of 283, 779, 337, 637, 706
• LCM of 951, 188, 311, 375, 244

1. What is the LCM of 535, 935, 689, 782, 680?

Answer: LCM of 535, 935, 689, 782, 680 is 12683304920.

2. How to calculate the LCM of 535, 935, 689, 782, 680?

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 535, 935, 689, 782, 680.

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}.