Given numbers are 985,884,414

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

The LCM of 985,884,414 is 180243180.

Find LCM of 985,884,414 with Prime Factorization

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

2 x 985 x 442 x 207 = 180243180

Therefore, the lowest common multiple of 985,884,414 is 180243180.

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.

985 x 884 x 414 = 360486360

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.

985 : 1, 5, 197, 985

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,884,414, is 1.

Now, the common factors can be found like this.

985:5x 197

884:2x 2x 13x 17

414:2x 3x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 360486360/(1x2)

LCM = 360486360/2

LCM = 180243180

Thus, we can understand that the LCM of 985,884,414 is 180243180.

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

• LCM of 259, 833, 705
• LCM of 987, 730, 450
• LCM of 364, 960, 417
• LCM of 470, 817, 997
• LCM of 150, 645, 464

1. What is the LCM of 985, 884, 414?

Answer: LCM of 985, 884, 414 is 180243180.

2. How to calculate the LCM of 985, 884, 414?

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 985, 884, 414.

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}.