Given numbers are 946,531,378,912

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

The LCM of 946,531,378,912 is 1603424592.

Find LCM of 946,531,378,912 with Prime Factorization

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

2 x 3 x 3 x 473 x 59 x 21 x 152 = 1603424592

Therefore, the lowest common multiple of 946,531,378,912 is 1603424592.

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.

946 x 531 x 378 x 912 = 173169855936

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

531 : 1, 3, 9, 59, 177, 531

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,531,378,912, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

531:3x 3x 59

378:2x 3x 3x 3x 7

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 173169855936/(1x108)

LCM = 173169855936/108

LCM = 1603424592

Thus, we can understand that the LCM of 946,531,378,912 is 1603424592.

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

• LCM of 299, 853, 942, 563
• LCM of 895, 168, 638, 683
• LCM of 808, 535, 616, 880
• LCM of 879, 356, 512, 669
• LCM of 165, 696, 988, 524

1. What is the LCM of 946, 531, 378, 912?

Answer: LCM of 946, 531, 378, 912 is 1603424592.

2. How to calculate the LCM of 946, 531, 378, 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 946, 531, 378, 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}.