Given numbers are 748,332,678,232,652

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

The LCM of 748,332,678,232,652 is 198973384104.

Find LCM of 748,332,678,232,652 with Prime Factorization

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

2 x 2 x 187 x 83 x 339 x 58 x 163 = 198973384104

Therefore, the lowest common multiple of 748,332,678,232,652 is 198973384104.

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.

748 x 332 x 678 x 232 x 652 = 25468593165312

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

332 : 1, 2, 4, 83, 166, 332

678 : 1, 2, 3, 6, 113, 226, 339, 678

232 : 1, 2, 4, 8, 29, 58, 116, 232

652 : 1, 2, 4, 163, 326, 652

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,332,678,232,652, is 2.

Now, the common factors can be found like this.

748:2x 2x 11x 17

332:2x 2x 83

678:2x 3x 113

232:2x 2x 2x 29

652:2x 2x 163

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 25468593165312/(2x64)

LCM = 25468593165312/128

LCM = 198973384104

Thus, we can understand that the LCM of 748,332,678,232,652 is 198973384104.

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

• LCM of 365, 878, 479, 875, 963
• LCM of 195, 732, 550, 904, 490
• LCM of 591, 680, 279, 161, 136
• LCM of 660, 673, 154, 496, 404
• LCM of 852, 516, 832, 570, 510

1. What is the LCM of 748, 332, 678, 232, 652?

Answer: LCM of 748, 332, 678, 232, 652 is 198973384104.

2. How to calculate the LCM of 748, 332, 678, 232, 652?

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 748, 332, 678, 232, 652.

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}.