Given numbers are 680,784,218,412

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

The LCM of 680,784,218,412 is 748167280.

Find LCM of 680,784,218,412 with Prime Factorization

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

2 x 2 x 2 x 85 x 98 x 109 x 103 = 748167280

Therefore, the lowest common multiple of 680,784,218,412 is 748167280.

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.

680 x 784 x 218 x 412 = 47882705920

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.

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

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

218 : 1, 2, 109, 218

412 : 1, 2, 4, 103, 206, 412

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,784,218,412, is 2.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

784:2x 2x 2x 2x 7x 7

218:2x 109

412:2x 2x 103

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 = 47882705920/(2x32)

LCM = 47882705920/64

LCM = 748167280

Thus, we can understand that the LCM of 680,784,218,412 is 748167280.

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

• LCM of 647, 194, 258, 231
• LCM of 255, 483, 511, 862
• LCM of 132, 700, 469, 563
• LCM of 564, 819, 442, 188
• LCM of 609, 606, 459, 562

1. What is the LCM of 680, 784, 218, 412?

Answer: LCM of 680, 784, 218, 412 is 748167280.

2. How to calculate the LCM of 680, 784, 218, 412?

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 680, 784, 218, 412.

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}.