Given numbers are 264,188,728,451,638

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

The LCM of 264,188,728,451,638 is 1342533192.

Find LCM of 264,188,728,451,638 with Prime Factorization

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

2 x 2 x 2 x 11 x 3 x 47 x 91 x 41 x 29 = 1342533192

Therefore, the lowest common multiple of 264,188,728,451,638 is 1342533192.

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.

264 x 188 x 728 x 451 x 638 = 10396577038848

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

188 : 1, 2, 4, 47, 94, 188

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

451 : 1, 11, 41, 451

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,188,728,451,638, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

188:2x 2x 47

728:2x 2x 2x 7x 13

451:11x 41

638:2x 11x 29

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 11x 11 = 7744

Therefore, the value for common factors is 7744.

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 = 10396577038848/(1x7744)

LCM = 10396577038848/7744

LCM = 1342533192

Thus, we can understand that the LCM of 264,188,728,451,638 is 1342533192.

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

• LCM of 168, 376, 335, 765, 949
• LCM of 865, 988, 752, 502, 663
• LCM of 464, 690, 410, 154, 679
• LCM of 216, 856, 914, 658, 506
• LCM of 451, 503, 757, 691, 358

1. What is the LCM of 264, 188, 728, 451, 638?

Answer: LCM of 264, 188, 728, 451, 638 is 1342533192.

2. How to calculate the LCM of 264, 188, 728, 451, 638?

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 264, 188, 728, 451, 638.

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}.