Given numbers are 966,750,209,916,409

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

The LCM of 966,750,209,916,409 is 4727398483500.

Find LCM of 966,750,209,916,409 with Prime Factorization

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

2 x 3 x 161 x 125 x 209 x 458 x 409 = 4727398483500

Therefore, the lowest common multiple of 966,750,209,916,409 is 4727398483500.

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.

966 x 750 x 209 x 916 x 409 = 56728781802000

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

209 : 1, 11, 19, 209

916 : 1, 2, 4, 229, 458, 916

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,750,209,916,409, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

750:2x 3x 5x 5x 5

209:11x 19

916:2x 2x 229

409:409

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 3 = 12

Therefore, the value for common factors is 12.

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 = 56728781802000/(1x12)

LCM = 56728781802000/12

LCM = 4727398483500

Thus, we can understand that the LCM of 966,750,209,916,409 is 4727398483500.

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

• LCM of 141, 366, 591, 180, 959
• LCM of 789, 500, 574, 155, 171
• LCM of 597, 718, 131, 862, 212
• LCM of 890, 249, 729, 200, 874
• LCM of 435, 158, 651, 687, 426

1. What is the LCM of 966, 750, 209, 916, 409?

Answer: LCM of 966, 750, 209, 916, 409 is 4727398483500.

2. How to calculate the LCM of 966, 750, 209, 916, 409?

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 966, 750, 209, 916, 409.

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}.