Given numbers are 680,676,493,833,409

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

The LCM of 680,676,493,833,409 is 66790239880.

Find LCM of 680,676,493,833,409 with Prime Factorization

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

2 x 2 x 17 x 10 x 169 x 29 x 49 x 409 = 66790239880

Therefore, the lowest common multiple of 680,676,493,833,409 is 66790239880.

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 676 x 493 x 833 x 409 = 77209517301280

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

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

493 : 1, 17, 29, 493

833 : 1, 7, 17, 49, 119, 833

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,676,493,833,409, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

676:2x 2x 13x 13

493:17x 29

833:7x 7x 17

409:409

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 77209517301280/(1x1156)

LCM = 77209517301280/1156

LCM = 66790239880

Thus, we can understand that the LCM of 680,676,493,833,409 is 66790239880.

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

• LCM of 767, 740, 821, 589, 700
• LCM of 920, 912, 906, 362, 973
• LCM of 453, 249, 189, 985, 609
• LCM of 767, 848, 666, 642, 855
• LCM of 684, 524, 772, 499, 208

1. What is the LCM of 680, 676, 493, 833, 409?

Answer: LCM of 680, 676, 493, 833, 409 is 66790239880.

2. How to calculate the LCM of 680, 676, 493, 833, 409?

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, 676, 493, 833, 409.

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}.