Given numbers are 201,472,728,864

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

The LCM of 201,472,728,864 is 310800672.

Find LCM of 201,472,728,864 with Prime Factorization

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

2 x 2 x 2 x 3 x 67 x 59 x 91 x 36 = 310800672

Therefore, the lowest common multiple of 201,472,728,864 is 310800672.

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.

201 x 472 x 728 x 864 = 59673729024

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.

201 : 1, 3, 67, 201

472 : 1, 2, 4, 8, 59, 118, 236, 472

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,472,728,864, is 1.

Now, the common factors can be found like this.

201:3x 67

472:2x 2x 2x 59

728:2x 2x 2x 7x 13

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

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 59673729024/(1x192)

LCM = 59673729024/192

LCM = 310800672

Thus, we can understand that the LCM of 201,472,728,864 is 310800672.

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

• LCM of 799, 259, 791, 344
• LCM of 525, 831, 270, 312
• LCM of 179, 786, 154, 327
• LCM of 780, 712, 286, 986
• LCM of 340, 928, 988, 537

1. What is the LCM of 201, 472, 728, 864?

Answer: LCM of 201, 472, 728, 864 is 310800672.

2. How to calculate the LCM of 201, 472, 728, 864?

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 201, 472, 728, 864.

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}.