Given numbers are 422,126,286,228

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

The LCM of 422,126,286,228 is 144468324.

Find LCM of 422,126,286,228 with Prime Factorization

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

2 x 3 x 211 x 21 x 143 x 38 = 144468324

Therefore, the lowest common multiple of 422,126,286,228 is 144468324.

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.

422 x 126 x 286 x 228 = 3467239776

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.

422 : 1, 2, 211, 422

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

286 : 1, 2, 11, 13, 22, 26, 143, 286

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,126,286,228, is 2.

Now, the common factors can be found like this.

422:2x 211

126:2x 3x 3x 7

286:2x 11x 13

228:2x 2x 3x 19

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 = 3467239776/(2x12)

LCM = 3467239776/24

LCM = 144468324

Thus, we can understand that the LCM of 422,126,286,228 is 144468324.

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

• LCM of 101, 374, 571, 863
• LCM of 193, 262, 965, 815
• LCM of 199, 332, 904, 482
• LCM of 114, 756, 851, 404
• LCM of 942, 198, 174, 177

1. What is the LCM of 422, 126, 286, 228?

Answer: LCM of 422, 126, 286, 228 is 144468324.

2. How to calculate the LCM of 422, 126, 286, 228?

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 422, 126, 286, 228.

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}.