Given numbers are 687,322,614,746,536

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

The LCM of 687,322,614,746,536 is 6788824942872.

Find LCM of 687,322,614,746,536 with Prime Factorization

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

2 x 687 x 161 x 307 x 373 x 268 = 6788824942872

Therefore, the lowest common multiple of 687,322,614,746,536 is 6788824942872.

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.

687 x 322 x 614 x 746 x 536 = 54310599542976

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.

687 : 1, 3, 229, 687

322 : 1, 2, 7, 14, 23, 46, 161, 322

614 : 1, 2, 307, 614

746 : 1, 2, 373, 746

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,322,614,746,536, is 1.

Now, the common factors can be found like this.

687:3x 229

322:2x 7x 23

614:2x 307

746:2x 373

536:2x 2x 2x 67

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 2 = 8

Therefore, the value for common factors is 8.

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 = 54310599542976/(1x8)

LCM = 54310599542976/8

LCM = 6788824942872

Thus, we can understand that the LCM of 687,322,614,746,536 is 6788824942872.

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

• LCM of 741, 433, 162, 477, 683
• LCM of 956, 820, 408, 524, 620
• LCM of 660, 149, 690, 502, 843
• LCM of 115, 635, 495, 132, 169
• LCM of 773, 833, 686, 224, 380

1. What is the LCM of 687, 322, 614, 746, 536?

Answer: LCM of 687, 322, 614, 746, 536 is 6788824942872.

2. How to calculate the LCM of 687, 322, 614, 746, 536?

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 687, 322, 614, 746, 536.

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}.