Given numbers are 882,369,468,912

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

The LCM of 882,369,468,912 is 71456112.

Find LCM of 882,369,468,912 with Prime Factorization

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

2 x 2 x 3 x 3 x 49 x 41 x 13 x 76 = 71456112

Therefore, the lowest common multiple of 882,369,468,912 is 71456112.

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.

882 x 369 x 468 x 912 = 138910681728

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.

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

369 : 1, 3, 9, 41, 123, 369

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,369,468,912, is 3.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

369:3x 3x 41

468:2x 2x 3x 3x 13

912:2x 2x 2x 2x 3x 19

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 138910681728/(3x648)

LCM = 138910681728/1944

LCM = 71456112

Thus, we can understand that the LCM of 882,369,468,912 is 71456112.

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

• LCM of 669, 116, 552, 960
• LCM of 362, 607, 729, 712
• LCM of 826, 777, 437, 768
• LCM of 454, 357, 693, 969
• LCM of 197, 493, 395, 764

1. What is the LCM of 882, 369, 468, 912?

Answer: LCM of 882, 369, 468, 912 is 71456112.

2. How to calculate the LCM of 882, 369, 468, 912?

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 882, 369, 468, 912.

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}.