Given numbers are 680,982,614,534,110

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

The LCM of 680,982,614,534,110 is 301045906920.

Find LCM of 680,982,614,534,110 with Prime Factorization

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

2 x 5 x 68 x 491 x 307 x 267 x 11 = 301045906920

Therefore, the lowest common multiple of 680,982,614,534,110 is 301045906920.

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 982 x 614 x 534 x 110 = 24083672553600

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

982 : 1, 2, 491, 982

614 : 1, 2, 307, 614

534 : 1, 2, 3, 6, 89, 178, 267, 534

110 : 1, 2, 5, 10, 11, 22, 55, 110

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,982,614,534,110, is 2.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

982:2x 491

614:2x 307

534:2x 3x 89

110:2x 5x 11

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 5 = 40

Therefore, the value for common factors is 40.

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 = 24083672553600/(2x40)

LCM = 24083672553600/80

LCM = 301045906920

Thus, we can understand that the LCM of 680,982,614,534,110 is 301045906920.

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

• LCM of 503, 753, 561, 661, 188
• LCM of 780, 834, 195, 298, 491
• LCM of 922, 979, 388, 747, 922
• LCM of 738, 243, 280, 449, 518
• LCM of 581, 525, 298, 599, 468

1. What is the LCM of 680, 982, 614, 534, 110?

Answer: LCM of 680, 982, 614, 534, 110 is 301045906920.

2. How to calculate the LCM of 680, 982, 614, 534, 110?

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, 982, 614, 534, 110.

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}.