Given numbers are 199,920,531,280,120

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

The LCM of 199,920,531,280,120 is 680508360.

Find LCM of 199,920,531,280,120 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 199 x 23 x 177 x 7 x 1 = 680508360

Therefore, the lowest common multiple of 199,920,531,280,120 is 680508360.

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 920 x 531 x 280 x 120 = 3266440128000

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

531 : 1, 3, 9, 59, 177, 531

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,920,531,280,120, is 1.

Now, the common factors can be found like this.

199:199

920:2x 2x 2x 5x 23

531:3x 3x 59

280:2x 2x 2x 5x 7

120:2x 2x 2x 3x 5

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 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 3266440128000/(1x4800)

LCM = 3266440128000/4800

LCM = 680508360

Thus, we can understand that the LCM of 199,920,531,280,120 is 680508360.

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

• LCM of 215, 129, 798, 761, 570
• LCM of 214, 117, 902, 817, 409
• LCM of 868, 625, 180, 460, 956
• LCM of 913, 354, 297, 695, 140
• LCM of 690, 575, 831, 978, 969

1. What is the LCM of 199, 920, 531, 280, 120?

Answer: LCM of 199, 920, 531, 280, 120 is 680508360.

2. How to calculate the LCM of 199, 920, 531, 280, 120?

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, 920, 531, 280, 120.

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}.