Given numbers are 381,459,829,936,882

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

The LCM of 381,459,829,936,882 is 246263675112.

Find LCM of 381,459,829,936,882 with Prime Factorization

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

2 x 3 x 3 x 127 x 51 x 829 x 52 x 49 = 246263675112

Therefore, the lowest common multiple of 381,459,829,936,882 is 246263675112.

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.

381 x 459 x 829 x 936 x 882 = 119684146104432

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.

381 : 1, 3, 127, 381

459 : 1, 3, 9, 17, 27, 51, 153, 459

829 : 1, 829

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

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,459,829,936,882, is 1.

Now, the common factors can be found like this.

381:3x 127

459:3x 3x 3x 17

829:829

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

882:2x 3x 3x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 3 = 486

Therefore, the value for common factors is 486.

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 = 119684146104432/(1x486)

LCM = 119684146104432/486

LCM = 246263675112

Thus, we can understand that the LCM of 381,459,829,936,882 is 246263675112.

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

• LCM of 543, 713, 736, 871, 886
• LCM of 532, 483, 305, 538, 924
• LCM of 429, 535, 797, 406, 870
• LCM of 103, 549, 912, 953, 732
• LCM of 502, 470, 143, 967, 215

1. What is the LCM of 381, 459, 829, 936, 882?

Answer: LCM of 381, 459, 829, 936, 882 is 246263675112.

2. How to calculate the LCM of 381, 459, 829, 936, 882?

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 381, 459, 829, 936, 882.

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}.