Given numbers are 199,351,824,680,624

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

The LCM of 199,351,824,680,624 is 9784447920.

Find LCM of 199,351,824,680,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 199 x 9 x 103 x 85 x 2 = 9784447920

Therefore, the lowest common multiple of 199,351,824,680,624 is 9784447920.

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.

199 x 351 x 824 x 680 x 624 = 24421982008320

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.

199 : 1, 199

351 : 1, 3, 9, 13, 27, 39, 117, 351

824 : 1, 2, 4, 8, 103, 206, 412, 824

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,351,824,680,624, is 1.

Now, the common factors can be found like this.

199:199

351:3x 3x 3x 13

824:2x 2x 2x 103

680:2x 2x 2x 5x 17

624:2x 2x 2x 2x 3x 13

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 2x 2x 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 24421982008320/(1x2496)

LCM = 24421982008320/2496

LCM = 9784447920

Thus, we can understand that the LCM of 199,351,824,680,624 is 9784447920.

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

• LCM of 539, 206, 850, 637, 206
• LCM of 427, 459, 688, 428, 993
• LCM of 359, 999, 358, 470, 232
• LCM of 294, 408, 649, 861, 480
• LCM of 802, 139, 447, 741, 179

1. What is the LCM of 199, 351, 824, 680, 624?

Answer: LCM of 199, 351, 824, 680, 624 is 9784447920.

2. How to calculate the LCM of 199, 351, 824, 680, 624?

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 199, 351, 824, 680, 624.

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}.