Given numbers are 682,163,864,378

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

The LCM of 682,163,864,378 is 336165984.

Find LCM of 682,163,864,378 with Prime Factorization

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

2 x 3 x 3 x 3 x 341 x 163 x 16 x 7 = 336165984

Therefore, the lowest common multiple of 682,163,864,378 is 336165984.

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 163 x 864 x 378 = 36305926272

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

163 : 1, 163

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,163,864,378, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

163:163

864:2x 2x 2x 2x 2x 3x 3x 3

378:2x 3x 3x 3x 7

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 36305926272/(1x108)

LCM = 36305926272/108

LCM = 336165984

Thus, we can understand that the LCM of 682,163,864,378 is 336165984.

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

• LCM of 367, 975, 457, 328
• LCM of 945, 216, 777, 296
• LCM of 547, 792, 955, 682
• LCM of 809, 765, 879, 998
• LCM of 382, 740, 500, 450

1. What is the LCM of 682, 163, 864, 378?

Answer: LCM of 682, 163, 864, 378 is 336165984.

2. How to calculate the LCM of 682, 163, 864, 378?

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, 163, 864, 378.

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}.