Given numbers are 219,102,197,222

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

The LCM of 219,102,197,222 is 54273894.

Find LCM of 219,102,197,222 with Prime Factorization

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

2 x 3 x 73 x 17 x 197 x 37 = 54273894

Therefore, the lowest common multiple of 219,102,197,222 is 54273894.

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.

219 x 102 x 197 x 222 = 976930092

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.

219 : 1, 3, 73, 219

102 : 1, 2, 3, 6, 17, 34, 51, 102

197 : 1, 197

222 : 1, 2, 3, 6, 37, 74, 111, 222

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,102,197,222, is 1.

Now, the common factors can be found like this.

219:3x 73

102:2x 3x 17

197:197

222:2x 3x 37

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 976930092/(1x18)

LCM = 976930092/18

LCM = 54273894

Thus, we can understand that the LCM of 219,102,197,222 is 54273894.

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

• LCM of 994, 628, 197, 355
• LCM of 291, 693, 457, 190
• LCM of 145, 830, 849, 289
• LCM of 719, 176, 287, 735
• LCM of 668, 887, 207, 192

1. What is the LCM of 219, 102, 197, 222?

Answer: LCM of 219, 102, 197, 222 is 54273894.

2. How to calculate the LCM of 219, 102, 197, 222?

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 219, 102, 197, 222.

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}.