Given numbers are 720,852,116,183,199

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

The LCM of 720,852,116,183,199 is 17995824720.

Find LCM of 720,852,116,183,199 with Prime Factorization

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

2 x 2 x 3 x 60 x 71 x 29 x 61 x 199 = 17995824720

Therefore, the lowest common multiple of 720,852,116,183,199 is 17995824720.

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.

720 x 852 x 116 x 183 x 199 = 2591398759680

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

116 : 1, 2, 4, 29, 58, 116

183 : 1, 3, 61, 183

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,852,116,183,199, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

852:2x 2x 3x 71

116:2x 2x 29

183:3x 61

199:199

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 2591398759680/(1x144)

LCM = 2591398759680/144

LCM = 17995824720

Thus, we can understand that the LCM of 720,852,116,183,199 is 17995824720.

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

• LCM of 890, 882, 978, 978, 915
• LCM of 926, 199, 714, 175, 418
• LCM of 668, 443, 368, 957, 373
• LCM of 112, 250, 320, 825, 576
• LCM of 221, 793, 498, 571, 504

1. What is the LCM of 720, 852, 116, 183, 199?

Answer: LCM of 720, 852, 116, 183, 199 is 17995824720.

2. How to calculate the LCM of 720, 852, 116, 183, 199?

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 720, 852, 116, 183, 199.

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}.