Given numbers are 686,800,134,604,204

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

The LCM of 686,800,134,604,204 is 141581344800.

Find LCM of 686,800,134,604,204 with Prime Factorization

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

2 x 2 x 343 x 200 x 67 x 151 x 51 = 141581344800

Therefore, the lowest common multiple of 686,800,134,604,204 is 141581344800.

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.

686 x 800 x 134 x 604 x 204 = 9061206067200

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

134 : 1, 2, 67, 134

604 : 1, 2, 4, 151, 302, 604

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,800,134,604,204, is 2.

Now, the common factors can be found like this.

686:2x 7x 7x 7

800:2x 2x 2x 2x 2x 5x 5

134:2x 67

604:2x 2x 151

204:2x 2x 3x 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 2x 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 9061206067200/(2x32)

LCM = 9061206067200/64

LCM = 141581344800

Thus, we can understand that the LCM of 686,800,134,604,204 is 141581344800.

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

• LCM of 988, 374, 952, 196, 297
• LCM of 774, 178, 891, 838, 958
• LCM of 263, 254, 205, 562, 767
• LCM of 735, 494, 302, 736, 647
• LCM of 700, 872, 921, 807, 926

1. What is the LCM of 686, 800, 134, 604, 204?

Answer: LCM of 686, 800, 134, 604, 204 is 141581344800.

2. How to calculate the LCM of 686, 800, 134, 604, 204?

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 686, 800, 134, 604, 204.

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}.