Given numbers are 267,221,126,192,366

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

The LCM of 267,221,126,192,366 is 4837629888.

Find LCM of 267,221,126,192,366 with Prime Factorization

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

2 x 3 x 89 x 221 x 21 x 32 x 61 = 4837629888

Therefore, the lowest common multiple of 267,221,126,192,366 is 4837629888.

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.

267 x 221 x 126 x 192 x 366 = 522464027904

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.

267 : 1, 3, 89, 267

221 : 1, 13, 17, 221

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,221,126,192,366, is 1.

Now, the common factors can be found like this.

267:3x 89

221:13x 17

126:2x 3x 3x 7

192:2x 2x 2x 2x 2x 2x 3

366:2x 3x 61

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 522464027904/(1x108)

LCM = 522464027904/108

LCM = 4837629888

Thus, we can understand that the LCM of 267,221,126,192,366 is 4837629888.

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

• LCM of 239, 341, 395, 188, 948
• LCM of 189, 602, 871, 597, 897
• LCM of 111, 631, 404, 370, 300
• LCM of 963, 983, 162, 899, 479
• LCM of 559, 215, 810, 401, 285

1. What is the LCM of 267, 221, 126, 192, 366?

Answer: LCM of 267, 221, 126, 192, 366 is 4837629888.

2. How to calculate the LCM of 267, 221, 126, 192, 366?

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 267, 221, 126, 192, 366.

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}.