Given numbers are 680,900,556,829

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

The LCM of 680,900,556,829 is 3526068600.

Find LCM of 680,900,556,829 with Prime Factorization

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

2 x 2 x 5 x 34 x 45 x 139 x 829 = 3526068600

Therefore, the lowest common multiple of 680,900,556,829 is 3526068600.

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 900 x 556 x 829 = 282085488000

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

556 : 1, 2, 4, 139, 278, 556

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,900,556,829, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

900:2x 2x 3x 3x 5x 5

556:2x 2x 139

829:829

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 5 = 80

Therefore, the value for common factors is 80.

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 = 282085488000/(1x80)

LCM = 282085488000/80

LCM = 3526068600

Thus, we can understand that the LCM of 680,900,556,829 is 3526068600.

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

• LCM of 725, 387, 300, 180
• LCM of 888, 516, 237, 546
• LCM of 419, 485, 948, 739
• LCM of 501, 638, 352, 187
• LCM of 946, 373, 173, 903

1. What is the LCM of 680, 900, 556, 829?

Answer: LCM of 680, 900, 556, 829 is 3526068600.

2. How to calculate the LCM of 680, 900, 556, 829?

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, 900, 556, 829.

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}.