Given numbers are 132,864,268,420

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

The LCM of 132,864,268,420 is 22286880.

Find LCM of 132,864,268,420 with Prime Factorization

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

2 x 2 x 3 x 11 x 72 x 67 x 35 = 22286880

Therefore, the lowest common multiple of 132,864,268,420 is 22286880.

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.

132 x 864 x 268 x 420 = 12837242880

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.

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

268 : 1, 2, 4, 67, 134, 268

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,864,268,420, is 4.

Now, the common factors can be found like this.

132:2x 2x 3x 11

864:2x 2x 2x 2x 2x 3x 3x 3

268:2x 2x 67

420:2x 2x 3x 5x 7

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 12837242880/(4x144)

LCM = 12837242880/576

LCM = 22286880

Thus, we can understand that the LCM of 132,864,268,420 is 22286880.

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

• LCM of 755, 807, 820, 514
• LCM of 216, 209, 131, 156
• LCM of 290, 238, 279, 356
• LCM of 574, 286, 985, 410
• LCM of 815, 400, 782, 945

1. What is the LCM of 132, 864, 268, 420?

Answer: LCM of 132, 864, 268, 420 is 22286880.

2. How to calculate the LCM of 132, 864, 268, 420?

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 132, 864, 268, 420.

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}.