Given numbers are 680,302,990,514

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

The LCM of 680,302,990,514 is 2612487240.

Find LCM of 680,302,990,514 with Prime Factorization

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

2 x 5 x 68 x 151 x 99 x 257 = 2612487240

Therefore, the lowest common multiple of 680,302,990,514 is 2612487240.

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 302 x 990 x 514 = 104499489600

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

302 : 1, 2, 151, 302

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,302,990,514, is 2.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

302:2x 151

990:2x 3x 3x 5x 11

514:2x 257

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 5 = 20

Therefore, the value for common factors is 20.

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 = 104499489600/(2x20)

LCM = 104499489600/40

LCM = 2612487240

Thus, we can understand that the LCM of 680,302,990,514 is 2612487240.

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

• LCM of 470, 112, 479, 639
• LCM of 164, 504, 476, 419
• LCM of 686, 352, 803, 126
• LCM of 701, 661, 546, 197
• LCM of 100, 578, 969, 133

1. What is the LCM of 680, 302, 990, 514?

Answer: LCM of 680, 302, 990, 514 is 2612487240.

2. How to calculate the LCM of 680, 302, 990, 514?

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, 302, 990, 514.

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}.