Given numbers are 494,630,872,680

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

The LCM of 494,630,872,680 is 1153381320.

Find LCM of 494,630,872,680 with Prime Factorization

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

2 x 2 x 2 x 5 x 247 x 63 x 109 x 17 = 1153381320

Therefore, the lowest common multiple of 494,630,872,680 is 1153381320.

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.

494 x 630 x 872 x 680 = 184541011200

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

872 : 1, 2, 4, 8, 109, 218, 436, 872

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,630,872,680, is 2.

Now, the common factors can be found like this.

494:2x 13x 19

630:2x 3x 3x 5x 7

872:2x 2x 2x 109

680:2x 2x 2x 5x 17

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 = 184541011200/(2x80)

LCM = 184541011200/160

LCM = 1153381320

Thus, we can understand that the LCM of 494,630,872,680 is 1153381320.

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

• LCM of 377, 140, 695, 275
• LCM of 636, 190, 909, 118
• LCM of 718, 851, 983, 285
• LCM of 825, 838, 732, 541
• LCM of 356, 960, 604, 512

1. What is the LCM of 494, 630, 872, 680?

Answer: LCM of 494, 630, 872, 680 is 1153381320.

2. How to calculate the LCM of 494, 630, 872, 680?

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 494, 630, 872, 680.

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}.