Given numbers are 680,461,306,442,518

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

The LCM of 680,461,306,442,518 is 9499384440.

Find LCM of 680,461,306,442,518 with Prime Factorization

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

2 x 17 x 20 x 461 x 9 x 13 x 259 = 9499384440

Therefore, the lowest common multiple of 680,461,306,442,518 is 9499384440.

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 461 x 306 x 442 x 518 = 21962576825280

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

461 : 1, 461

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

442 : 1, 2, 13, 17, 26, 34, 221, 442

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,461,306,442,518, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

461:461

306:2x 3x 3x 17

442:2x 13x 17

518:2x 7x 37

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 17x 17 = 2312

Therefore, the value for common factors is 2312.

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 = 21962576825280/(1x2312)

LCM = 21962576825280/2312

LCM = 9499384440

Thus, we can understand that the LCM of 680,461,306,442,518 is 9499384440.

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

• LCM of 397, 572, 752, 180, 686
• LCM of 311, 216, 340, 283, 320
• LCM of 408, 465, 682, 859, 932
• LCM of 870, 297, 320, 834, 375
• LCM of 765, 172, 346, 300, 871

1. What is the LCM of 680, 461, 306, 442, 518?

Answer: LCM of 680, 461, 306, 442, 518 is 9499384440.

2. How to calculate the LCM of 680, 461, 306, 442, 518?

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, 461, 306, 442, 518.

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}.