Given numbers are 121,192,732,828

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

The LCM of 121,192,732,828 is 97783488.

Find LCM of 121,192,732,828 with Prime Factorization

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

2 x 2 x 3 x 121 x 16 x 61 x 69 = 97783488

Therefore, the lowest common multiple of 121,192,732,828 is 97783488.

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.

121 x 192 x 732 x 828 = 14080822272

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.

121 : 1, 11, 121

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

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,192,732,828, is 1.

Now, the common factors can be found like this.

121:11x 11

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

732:2x 2x 3x 61

828:2x 2x 3x 3x 23

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 = 14080822272/(1x144)

LCM = 14080822272/144

LCM = 97783488

Thus, we can understand that the LCM of 121,192,732,828 is 97783488.

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

• LCM of 664, 195, 359, 271
• LCM of 517, 896, 616, 158
• LCM of 553, 566, 910, 245
• LCM of 833, 665, 984, 959
• LCM of 142, 995, 456, 994

1. What is the LCM of 121, 192, 732, 828?

Answer: LCM of 121, 192, 732, 828 is 97783488.

2. How to calculate the LCM of 121, 192, 732, 828?

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 121, 192, 732, 828.

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}.