Given numbers are 676,206,320

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

The LCM of 676,206,320 is 5570240.

Find LCM of 676,206,320 with Prime Factorization

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

2 x 2 x 169 x 103 x 80 = 5570240

Therefore, the lowest common multiple of 676,206,320 is 5570240.

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.

676 x 206 x 320 = 44561920

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

206 : 1, 2, 103, 206

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,206,320, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

206:2x 103

320:2x 2x 2x 2x 2x 2x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 44561920/(2x4)

LCM = 44561920/8

LCM = 5570240

Thus, we can understand that the LCM of 676,206,320 is 5570240.

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

• LCM of 216, 424, 503
• LCM of 182, 975, 431
• LCM of 711, 894, 217
• LCM of 103, 200, 317
• LCM of 794, 846, 704

1. What is the LCM of 676, 206, 320?

Answer: LCM of 676, 206, 320 is 5570240.

2. How to calculate the LCM of 676, 206, 320?

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 676, 206, 320.

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}.