Given numbers are 235,936,502,757,728

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

The LCM of 235,936,502,757,728 is 292557578040.

Find LCM of 235,936,502,757,728 with Prime Factorization

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

2 x 2 x 2 x 13 x 235 x 9 x 251 x 757 x 7 = 292557578040

Therefore, the lowest common multiple of 235,936,502,757,728 is 292557578040.

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.

235 x 936 x 502 x 757 x 728 = 60851976232320

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.

235 : 1, 5, 47, 235

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

502 : 1, 2, 251, 502

757 : 1, 757

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,936,502,757,728, is 1.

Now, the common factors can be found like this.

235:5x 47

936:2x 2x 2x 3x 3x 13

502:2x 251

757:757

728:2x 2x 2x 7x 13

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 13 = 208

Therefore, the value for common factors is 208.

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 = 60851976232320/(1x208)

LCM = 60851976232320/208

LCM = 292557578040

Thus, we can understand that the LCM of 235,936,502,757,728 is 292557578040.

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

• LCM of 617, 845, 534, 344, 829
• LCM of 588, 571, 960, 224, 116
• LCM of 320, 815, 954, 159, 460
• LCM of 870, 442, 687, 923, 878
• LCM of 121, 455, 693, 680, 101

1. What is the LCM of 235, 936, 502, 757, 728?

Answer: LCM of 235, 936, 502, 757, 728 is 292557578040.

2. How to calculate the LCM of 235, 936, 502, 757, 728?

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 235, 936, 502, 757, 728.

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}.