Given numbers are 198,112,782

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

The LCM of 198,112,782 is 4335408.

Find LCM of 198,112,782 with Prime Factorization

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

2 x 99 x 56 x 391 = 4335408

Therefore, the lowest common multiple of 198,112,782 is 4335408.

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.

198 x 112 x 782 = 17341632

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

782 : 1, 2, 17, 23, 34, 46, 391, 782

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,112,782, is 2.

Now, the common factors can be found like this.

198:2x 3x 3x 11

112:2x 2x 2x 2x 7

782:2x 17x 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 = 17341632/(2x2)

LCM = 17341632/4

LCM = 4335408

Thus, we can understand that the LCM of 198,112,782 is 4335408.

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

• LCM of 582, 311, 964
• LCM of 995, 391, 987
• LCM of 425, 774, 648
• LCM of 761, 919, 717
• LCM of 864, 273, 976

1. What is the LCM of 198, 112, 782?

Answer: LCM of 198, 112, 782 is 4335408.

2. How to calculate the LCM of 198, 112, 782?

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 198, 112, 782.

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}.