Given numbers are 865,728,936,760,538

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

The LCM of 865,728,936,760,538 is 28966490280.

Find LCM of 865,728,936,760,538 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 173 x 7 x 9 x 19 x 269 = 28966490280

Therefore, the lowest common multiple of 865,728,936,760,538 is 28966490280.

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.

865 x 728 x 936 x 760 x 538 = 241001199129600

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.

865 : 1, 5, 173, 865

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

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,728,936,760,538, is 1.

Now, the common factors can be found like this.

865:5x 173

728:2x 2x 2x 7x 13

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

760:2x 2x 2x 5x 19

538:2x 269

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 2x 5x 13 = 8320

Therefore, the value for common factors is 8320.

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 = 241001199129600/(1x8320)

LCM = 241001199129600/8320

LCM = 28966490280

Thus, we can understand that the LCM of 865,728,936,760,538 is 28966490280.

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

• LCM of 810, 238, 766, 946, 717
• LCM of 193, 545, 917, 662, 126
• LCM of 716, 213, 646, 574, 733
• LCM of 359, 118, 319, 370, 765
• LCM of 351, 656, 377, 670, 557

1. What is the LCM of 865, 728, 936, 760, 538?

Answer: LCM of 865, 728, 936, 760, 538 is 28966490280.

2. How to calculate the LCM of 865, 728, 936, 760, 538?

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 865, 728, 936, 760, 538.

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}.