Given numbers are 126,192,696

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

The LCM of 126,192,696 is 116928.

Find LCM of 126,192,696 with Prime Factorization

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

2 x 2 x 2 x 3 x 21 x 8 x 29 = 116928

Therefore, the lowest common multiple of 126,192,696 is 116928.

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.

126 x 192 x 696 = 16837632

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.

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,192,696, is 6.

Now, the common factors can be found like this.

126:2x 3x 3x 7

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

696:2x 2x 2x 3x 29

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 16837632/(6x24)

LCM = 16837632/144

LCM = 116928

Thus, we can understand that the LCM of 126,192,696 is 116928.

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

• LCM of 987, 531, 756
• LCM of 279, 700, 387
• LCM of 893, 770, 616
• LCM of 812, 120, 495
• LCM of 114, 777, 155

1. What is the LCM of 126, 192, 696?

Answer: LCM of 126, 192, 696 is 116928.

2. How to calculate the LCM of 126, 192, 696?

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 126, 192, 696.

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}.