Given numbers are 112,119,219

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

The LCM of 112,119,219 is 416976.

Find LCM of 112,119,219 with Prime Factorization

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

7 x 16 x 17 x 219 = 416976

Therefore, the lowest common multiple of 112,119,219 is 416976.

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.

112 x 119 x 219 = 2918832

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.

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

119 : 1, 7, 17, 119

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,119,219, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

119:7x 17

219:3x 73

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

7 = 7

Therefore, the value for common factors is 7.

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 = 2918832/(1x7)

LCM = 2918832/7

LCM = 416976

Thus, we can understand that the LCM of 112,119,219 is 416976.

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

• LCM of 313, 381, 992
• LCM of 896, 424, 414
• LCM of 183, 218, 380
• LCM of 205, 618, 900
• LCM of 699, 306, 199

1. What is the LCM of 112, 119, 219?

Answer: LCM of 112, 119, 219 is 416976.

2. How to calculate the LCM of 112, 119, 219?

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 112, 119, 219.

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}.